An equilateral triangular loop having a resistance R and length of each side $' ℓ'$ is placed in a magnetic field which is varying at $\frac{d B}{d t} = 1$ T/s. The induced current in the loop will be

Question

Smart Achievers · Accepted Answer

(1)

$e m f = ε = A \frac{d B}{d t},$ $i = \frac{ε}{R}$

Solution

Q.
An equilateral triangular loop having a resistance R and length of each side $' ℓ'$ is placed in a magnetic field which is varying at $\frac{d B}{d t} = 1$ T/s. The induced current in the loop will be

1 $\frac{\sqrt{3}}{4} \frac{ℓ^{2}}{R}$

2 $\frac{4}{\sqrt{3}} \frac{ℓ^{2}}{R}$

3 $\frac{\sqrt{3}}{4} \frac{R}{ℓ^{2}}$

4 $\frac{4}{\sqrt{3}} \frac{R}{ℓ^{2}}$

Ans.
(1)

$e m f = ε = A \frac{d B}{d t},$ $i = \frac{ε}{R}$

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Solution

Q. An equilateral triangular loop having a resistance R and length of each side 'ℓ' is placed in a magnetic field which is varying at dBdt=1 T/s. The induced current in the loop will be

1 34ℓ2R

2 43ℓ2R

3 34Rℓ2

4 43Rℓ2

Ans. (1) emf=ε=AdBdt, i=εR