1. A solenoid acts like a bar magnet when current is passed through it. This is because the current flowing through the solenoid creates a magnetic field inside it. This magnetic field is similar to the magnetic field of a bar magnet, with one end of the solenoid acting as the north pole and the other end acting as the south pole.

The magnetic moment (m) of the solenoid can be calculated using the formula m = nIA, where n is the number of turns per unit length, I is the current, and A is the area.

In this case, n = 800 turns, I = 3.0 A, and A = 2.5 × 10–4 m2.

So, m = 800 * 3.0 * 2.5 × 10–4 = 0.6 A.m2.

2. Resonance in an L-C-R series circuit occurs when the inductive reactance equals the capacitive reactance. This results in the impedance of the circuit being minimum and the current being maximum. Resonance is used in many applications including radio and television broadcasting, wireless communications, and in medical imaging equipment. It is possible in any circuit that contains inductance, capacitance, and resistance.

3. The torque (τ) acting on an electric dipole in a uniform external electric field can be given by the expression τ = pEsinθ, where p is the dipole moment, E is the electric field strength, and θ is the angle between the dipole moment and the electric field.

4. The electric field (E) at a distance r from a long straight wire carrying a linear charge density λ is given by the expression E = λ/2πε0r, where ε0 is the permittivity of free space. This expression is derived from Gauss's law.

Question

1. A solenoid acts like a bar magnet when current is passed through it. This is because the current flowing through the solenoid creates a magnetic field inside it. This magnetic field is similar to the magnetic field of a bar magnet, with one end of the solenoid acting as the north pole and the other end acting as the south pole.

The magnetic moment (m) of the solenoid can be calculated using the formula m = nIA, where n is the number of turns per unit length, I is the current, and A is the area.

In this case, n = 800 turns, I = 3.0 A, and A = 2.5 × 10–4 m2.

So, m = 800 * 3.0 * 2.5 × 10–4 = 0.6 A.m2.

2. Resonance in an L-C-R series circuit occurs when the inductive reactance equals the capacitive reactance. This results in the impedance of the circuit being minimum and the current being maximum. Resonance is used in many applications including radio and television broadcasting, wireless communications, and in medical imaging equipment. It is possible in any circuit that contains inductance, capacitance, and resistance.

3. The torque (τ) acting on an electric dipole in a uniform external electric field can be given by the expression τ = pEsinθ, where p is the dipole moment, E is the electric field strength, and θ is the angle between the dipole moment and the electric field.

4. The electric field (E) at a distance r from a long straight wire carrying a linear charge density λ is given by the expression E = λ/2πε0r, where ε0 is the permittivity of free space. This expression is derived from Gauss's law.

Knowee AI · Accepted Answer

1. A solenoid acts like a bar magnet when current is passed through it. This is because the current flowing through the solenoid creates a magnetic field inside it. This magnetic field is similar to the magnetic field of a bar magnet, with one end of the solenoid acting as the north pole and the other end acting as the south pole.

The magnetic moment (m) of the solenoid can be calculated using the formula m = nIA, where n is the number of turns per unit length, I is the current, and A is the area.

In this case, n = 800 turns, I = 3.0 A, and A = 2.5 × 10–4 m2.

So, m = 800 * 3.0 * 2.5 × 10–4 = 0.6 A.m2.

2. Resonance in an L-C-R series circuit occurs when the inductive reactance equals the capacitive reactance. This results in the impedance of the circuit being minimum and the current being maximum. Resonance is used in many applications including radio and television broadcasting, wireless communications, and in medical imaging equipment. It is possible in any circuit that contains inductance, capacitance, and resistance.

3. The torque (τ) acting on an electric dipole in a uniform external electric field can be given by the expression τ = pEsinθ, where p is the dipole moment, E is the electric field strength, and θ is the angle between the dipole moment and the electric field.

4. The electric field (E) at a distance r from a long straight wire carrying a linear charge density λ is given by the expression E = λ/2πε0r, where ε0 is the permittivity of free space. This expression is derived from Gauss's law.

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