A square coil of side 25 cm having 1000 turns is rotated with a uniform speed in a magnetic field about an axis perpendicular to the direction of the field. At an instant t , the emf induced in the coil is e=200 text sin text 100 text π t . The magnetic induction is

Question

A square coil of side 25 cm having 1000 turns is rotated with a uniform speed in a magnetic field about an axis perpendicular to the direction of the field. At an instant t , the emf induced in the coil is e=200 text sin text 100 text π t . The magnetic induction is (A)  0.50 text T  (B)  0.02 text T  (C)  10-3T  (D)  0.1 text T

Tardigrade Admin · Accepted Answer

e=200 sin 100π t We have, e0=200, ω =100 π ∵ BANω =e0 ∴ B=(e0/ANω ) =(200/(0.25× 0.25)× 1000× 100π ) Or B=0.01 T

Q. A square coil of side $25 c m$ having $1000$ turns is rotated with a uniform speed in a magnetic field about an axis perpendicular to the direction of the field. At an instant $t$ , the emf induced in the coil is $e = 200 s in 100 π t$ . The magnetic induction is

$0.50 T$

$0.02 T$

$10^{- 3} T$

$0.1 T$

$0.01 T$

$e = 200 sin 100 π t$
We have, $e_{0} = 200,$
$ω = 100 π$
$∵$ $B A N ω = e_{0}$
$∴$ $B = \frac{e _{0}}{A N ω}$
$= \frac{200}{( 0.25 \times 0.25 ) \times 1000 \times 100 π}$
Or $B = 0.01 T$

Q. A square coil of side 25cm having 1000 turns is rotated with a uniform speed in a magnetic field about an axis perpendicular to the direction of the field. At an instant t , the emf induced in the coil is e=200sin100πt . The magnetic induction is

0.50T

0.02T

10−3T

0.1T

0.01T

e=200sin100πt We have, e0​=200, ω=100π ∵ BANω=e0​ ∴ B=ANωe0​​ =(0.25×0.25)×1000×100π200​ Or B=0.01T