Question

In a closed circuit there is only a coil of inductance $L$ and resistance $100\ \Omega$. The coil is situated in a uniform magnetic field. All of a sudden, the magnetic flux linked with the circuit changes by $5$ Weber. What amount of charge will flow in the circuit as a result?

• A. 500 C
• B. 0.05 C
• C. 20 C
• D. Value of L is to be known to find the charge flown

Answer 1

The Correct Option is B

Given: - Resistance, \( R = 100\ \Omega \) - Change in magnetic flux, \( \Delta \phi = 5\ \text{Wb} \) - The circuit has only resistance and inductance (no external source). - To find: Charge flown, \( Q \)

Key concept: According to Faraday's law and Ohm’s law, the total charge \( Q \) that flows due to a change in magnetic flux is given by: \[ Q = \frac{\Delta \phi}{R} \] 

Substitute values: \[ Q = \frac{5}{100} = 0.05\ \text{C} \] 

Final Answer: 0.05 C