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  • A conducting loop of resistance R and radius r has its center at the origin of the co-ordinate system in a magnetic field of induction B along the x axis. When it is rotated about Y-axis through 90

A conducting loop of resistance R and radius r has its center at the origin of the co-ordinate system in a magnetic field of induction B along the x axis. When it is rotated about Y-axis through 90°, the induced charge in the coil is directly proportional to

Option: 1

B


Option: 2

R


Option: 3

\mathrm{r^3}


Option: 4

r


Answers (1)

best_answer

Induced emf loop when the variation of flux \mathrm{d} \phi during time dt is given as

\mathrm{E=\frac{d \phi}{d t} \Rightarrow \int_{\phi_1}^{\phi_2} \mathrm{~d} \phi=\Delta \phi=\int E d t}           ....[1]

\mathrm{\Rightarrow \quad \text { The total charge induced in the loop }=q=\int i d t}

\mathrm{q=\int \frac{E}{R} d t}                      .....[2]

\mathrm{using (1) and (2) }

\mathrm{q=\frac{\Delta \phi}{R} }

Hence the induced charge in the coil is directly proportional to B.

Posted by

Ritika Jonwal

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