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A small loop of wire of area A = 2 m^2 and resistance R = 10\Omega is initially kept in a uniform magnetic field  B of intensity 10^{-3}T  in such a way that the field is normal to plane of the loop . 

When it is pulled out of magnetic field , the charge q that flows through coil is 

Option: 1

2 \times 10 ^{-4}C


Option: 2

2 \times 10 ^{-5}C


Option: 3

4 \times 10 ^{-4}C


Option: 4

4 \times 10 ^{-5}C


Answers (1)

best_answer

As we have learned

Induced Charge -

dq= i.dt= \frac{-N}{R}\frac{d\phi }{dt}.dt

dq= \frac{-N}{R}d\phi

 

- wherein

Induced Charge time independent

 

 Charge in flux whem loop is pulled out of magnetic field 

d \phi = BA

Acc. faradays law 

\varepsilon = \frac{-d\phi }{dt}

Current induced in loop is 

i= \varepsilon/R = \frac{-1}{R}\frac{d\phi }{dt}

Charge flown 

q=idt

q=\frac{-1}{R}d\phi

q=\frac{1}{10}\times 10^{-3}\times 2= 2 \times 10^{-4}C

 

 

 

 

Posted by

Deependra Verma

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