Calculate the resistance per unit length of a 22-gauge Nichrome wire, which has a radius of 0.321 mm (The resistivity of Nichrome is 1.5·10-6 ω·m).

Calculate the power delivered to the load resistor, if the current in the circuit is 3.93 a, the load resistance is 3.00 ω.

Calculate the power delivered to the internal resistance of the battery, if the current in the circuit is 3.93 a, the internal resistance of 0.05 ω.

Consider three point charges located at the corners of a right triangle as shown in Figure, where q₁ = q₃ = 5.0 μC, q₂ =-2.0 μC, and a = 0.10 m. Find the resultant force exerted on q₃.

Calculate the ratio of the electrostatic to gravitational interaction forces between two electrons, between two protons. At what value of the specific charge q/m of a particle would these forces become equal (in their absolute values) in the case of interaction of identical particles? (γ=6.67·10^-11 m³/(kg·s²), m_e=9·10^-31kg, m_p=1·10^-27kg, k_e=8.99·10⁹ N·m²/ C²)

Calculate the resistance of an aluminum cylinder that has a length of 10.0 cm and a cross-sectional area of 2.00·10^-4 m² (ρ=2.82·10^-8 Ω·m).

Calculate the resistance of an glass cylinder that has a length of 10.0 cm and a cross-sectional area of 2.00·10^-4 m² (ρ=3·10¹⁰ Ω·m).

Calculate the resistance per unit length of a 22-gauge Nichrome wire, which has a radius of 0.321 mm (The resistivity of Nichrome is 1.5·10^-6 Ω·m).

Calculate the power delivered to the load resistor, if the current in the circuit is 3.93 A, the load resistance is 3.00 Ω.

Calculate the power delivered to the internal resistance of the battery, if the current in the circuit is 3.93 A, the internal resistance of 0.05 Ω.

Calculate the change in internal energy of 3.00 mol of helium gas when its temperature is increased by 2.00 K (Universal gas constant R= 8.314 J/mol*K ).

Calculate the maximum kinetic energy of protons in a cyclotron of radius 0.50 m in a magnetic field of 0.35 T.

Calculate the inductance of a solenoid containing 300 turns if the length of the solenoid is 25 cm and its cross-sectional area is 4 cm².

Calculate the self-induced emf in the solenoid containing 300 turns if the length of the solenoid is 25 cm and the current through it is decreasing at the rate of 50 A/s.

Calculate the time constant of RL circuit consisting of a 30 mH inductor in series with 6 Ω resistor and 12 V battery.

Current 0.5A flows in square wire loop of 10 cm side. What is magnetic dipole moment of the loop?

Current I=1A goes through the inductance with inductivity L=10^-3H. What is the magnetic flux through inductance:

Charge carries in metals are

Two spheres roll down an incline, starting from rest. Sphere A has the same mass and radius as sphere B, but sphere A is solid while sphere B is hollow. Which arrives at the bottom first?

Two solid spheres roll down an incline, starting from rest. Sphere A has twice the mass and twice the radius of sphere B. Which arrives at the bottom first?

The three sections of the pipe shown above have areas A₁, A₂, and A₃. The speeds of the fluid passing through each section of the pipe are v₁, v₂, and v₃, respectively. The areas are related by A₂ = 4A₁ = 8A₃. Assume the fluid flows horizontally. Which of the following is true of the speeds of the fluid in each section in the pipe?

The water (H2O) molecule has an electric dipole moment of 6.3·10^-30 C·m. A sample contains 10²¹ water molecules, with the dipole moments all oriented in the direction of an electric field of magnitude 2.5·10⁵ N/C. How much work is required to rotate the dipoles from this orientation (θ=0°) to one in which all the moments are perpendicular to the field (θ=90°)?

Two positive charges q₁ and q₂ are located at the points with radius vectors r₁ and r₂. Find a negative charge q₃ and a radius vector r₃ of the points at which it has to be placed for the force acting on each of the three charges to be equal to zero.

The velocity of the body is . What is the position vector for this body (in general form)?

The SI unit of density is?

The kinetic friction will always be

The unit of coefficient of friction in SI system is

The dot product of force and velocity is called __________.

The dimensions of angular momentum are __________.

The moment of inertia of a wheel about its axle does not depend upon its:

Two waves have the same frequency. Which wave characteristic must also be identical for both waves?

The moment of inertia of a body depends on

The Coulomb’s law ia an equation giving the magnitude of the electric force (sometimes called the Coulomb force) between two point charges:

The SI units for Coulomb constant k_e are:

The electric field vector E can be expressed as:

The potential difference ∆V between points A and B in an electric field E is defined as:

The potential difference between two points A and B in a uniform electric field E, where s (d=|s|) is a vector that points from A to B and is parallel to E is:

The potential energy associated with a pair of point charges separated by a distance r₁₂ is:

The electric potential due to a continuous charge distribution is:

The capacitance C of any capacitor is the ratio of the charge Q on either conductor to the potential difference ∆V between them:

The SI unit of capacitance is:

The equivalent capacitance of a parallel combination of capacitors is:

The energy stored in a capacitor with charge Q is:

The electric dipole moment p of an electric dipole has a magnitude:

The torque acting on an electric dipole in a uniform electric field E is:

The potential energy of the system of an electric dipole in a uniform external electric field E is:

The average current in a conductor is related to the motion of the charge carriers through the relationship:

The magnitude of the current density J in a conductor is:

The resistance R of a conductor is defined as:

The power supplied to the element, is:

The power delivered to a resistor can be defined as:

The equivalent resistance of a set of resistors connected in series is:

The equivalent resistance of a set of resistors connected in parallel is found from the relationship:

Two objects, with different sizes, masses, and temperatures, are placed in thermal contact. Energy travels

The first law of thermodynamics can be given as ________.

The second law of thermodynamics can be given as __________

Two containers hold an ideal gas at the same temperature and pressure. Both containers hold the same type of gas but container B has twice the volume of container A. The average translational kinetic energy per molecule in container B is

Two containers hold an ideal gas at the same temperature and pressure. Both containers hold the same type of gas but container B has twice the volume of container A. The internal energy of the gas in container B is

Two containers hold an ideal gas at the same temperature and pressure. Both containers hold the same type of gas but container B has twice the volume of container A. The rms speed of the gas molecules in container B is

The molar specific heat of a gas is measured at constant volume and found to be 11R/2. The gas is most likely to be

The geomagnetic field

The magnetic flux around a straight current-carrying wire

The gauss is a unit of

The induced voltage across a coil with 250 turns that is located in a magnetic field that is changing at a rate of 8 Wb/s is

The Coulomb’s law ia an equation giving the magnitude of the electric force (sometimes called the Coulomb force) between two point charges:

The SI units for Coulomb constant k_e are:

The electric field vector E can be expressed as:

The potential difference ∆V between points A and B in an electric field E is defined as:

The potential difference between two points A and B in a uniform electric field E, where s (d=|s|) is a vector that points from A to B and is parallel to E is:

The potential energy associated with a pair of point charges separated by a distance r₁₂ is:

The electric potential due to a continuous charge distribution is:

The capacitance C of any capacitor is the ratio of the charge Q on either conductor to the potential difference ∆V between them:

The SI unit of capacitance is:

The equivalent capacitance of a parallel combination of capacitors is:

The energy stored in a capacitor with charge Q is:

The electric dipole moment p of an electric dipole has a magnitude:

The torque acting on an electric dipole in a uniform electric field E is:

The potential energy of the system of an electric dipole in a uniform external electric field E is:

The average current in a conductor is related to the motion of the charge carriers through the relationship:

The magnitude of the current density J in a conductor is:

The resistance R of a conductor is defined as:

The power supplied to the element, is:

The power delivered to a resistor can be defined as:

The equivalent resistance of a set of resistors connected in series is:

The equivalent resistance of a set of resistors connected in parallel is found from the relationship:

Two point-like charges in air (ε=1) at the distance r₁=20 sm from each other interact with some force. At what distance r₂ one needs to place this charges in oil (ε₂=5) to get the same force of interaction?

The electron and proton of a hydrogen atom are separated (on the average) by a distance of approximately 5.3·10^-11 m. Find the magnitudes of the electric force between the two particles. (k_e=8.99·10⁹ N·m²/C²)

Three resistors are connected in parallel as shown in Figure. A potential difference of 18.0 V is maintained between points a and b. Find the current I₁.

Three resistors are connected in parallel as shown in Figure. A potential difference of 18.0 V is maintained between points a and b. Find the current I₂.

Three resistors are connected in parallel as shown in Figure. A potential difference of 18.0 V is maintained between points a and b. Find the current I₃.

Three resistors are connected in parallel as shown in Figure. A potential difference of 18.0 V is maintained between points a and b. Calculate the power delivered to resistor R₁.

Three resistors are connected in parallel as shown in Figure. A potential difference of 18.0 V is maintained between points a and b. Calculate the equivalent resistance of the circuit.

Two positive charges q₁ and q₂ are located at the points with radius vectors r₁ and r₂. Find a negative charge q₃ and a radius vector r₃ of the points at which it has to be placed for the force acting on each of the three charges to be equal to zero.

The water (H2O) molecule has an electric dipole moment of 6.3·10^-30 C·m. A sample contains 10²¹ water molecules, with the dipole moments all oriented in the direction of an electric field of magnitude 2.5·10⁵ N/C. How much work is required to rotate the dipoles from this orientation (θ=0°) to one in which all the moments are perpendicular to the field (θ=90°)?