A long solenoid of diameter 0.1 m has 2 × 104 turns per meter. At the centre of the solenoid, a coil of 100 turns and radius 0.01 m is placed with its axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate to 0 A from 4 A in 0.05 s. If the resistance of the coil is 1000 ohms, the total charge flowing through the coil during this time is
A long solenoid of diameter 0.1 m has 2 × 104 turns per meter. At the centre of the solenoid, a coil of 100 turns and radius 0.01 m is placed with its axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate to 0 A from 4 A in 0.05 s. If the resistance of the coil is 1000 ohms, the total charge flowing through the coil during this time is

(1) 16 micro Columb                    (2) 32 micro Columb
(3) 16 pi micro Columb                (4) 32 pi micro Columb

Solution: Answer (2)

According to the question,

Number of turns, 

Radius, 

Resistance, 
As we know that: