A solenoid of length 50 cm and a radius of cros section 1 cm has 1000 turns of wire wound over it if the current carried is 5A the magnetic field on its axis near the centre of the solenoid is approximately (Given permeability of free space `mu_(0)=4pi xx10^(-7) T-mA^(-1)`)A. `0.63xx10^(-2)T`B. `1.26 xx10^(-2) T`C. `2.51 xx10^(-2)T`D. `6.3 T`

A solenoid of length 50 cm and a radius of cros section 1 cm has 1000

1.	A solenoid of length 50 cm and a radius of cros section 1 cm has 1000 turns of wire wound over it if the current carried is 5A the magnetic field on its axis near the centre of the solenoid is approximately (Given permeability of free space `mu_(0)=4pi xx10^(-7) T-mA^(-1)`)A. `0.63xx10^(-2)T`B. `1.26 xx10^(-2) T`C. `2.51 xx10^(-2)T`D. `6.3 T`
Answer» Correct Answer - B The magnetic field is given by `B=mu_(0)ni` where `mu_(0)=4pixx10^(-7)T mA^(-1)n=(1000)/(50xx10^(-2))I =5A` `therefore` Magnetic field `B=4pi xx10^(-7)xx(1000)/(50xx10^(-3))xx5` `=1.26 xx10^(-2) T`

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