What is the emf induced in a coil of 200 turns and cross sectional area 0.2 m 2, when a magnetic field perpendicular to the plane of the coil changes from 0.1 Wbm -2 to 0.5 Wbm -2 at a uniform rate over a period of 0.05 sec ?

Question

What is the emf induced in a coil of 200 turns and cross sectional area 0.2 m 2, when a magnetic field perpendicular to the plane of the coil changes from 0.1 Wbm -2 to 0.5 Wbm -2 at a uniform rate over a period of 0.05 sec ? (A) 300 V (B) 320 V (C) 310 V (D) 290 V

Tardigrade Admin · Accepted Answer

e =?, N =200, A =0.2 m 2, B 1=0.1 Wbm -2 B 2=0.5 Wbm -2, t =0.05 sec e =(-(φ2-φ1)/ t ) ⇒ (- NA ( B 2- B 1)/ t ) ⇒ (-200 × 0.2(0.5-0.1)/0.05) e =-320 V

Q. What is the emf induced in a coil of $200$ turns and cross sectional area $0.2 m^{2}$ , when a magnetic field perpendicular to the plane of the coil changes from $0.1 Wb m^{- 2}$ to $0.5 Wb m^{- 2}$ at a uniform rate over a period of $0.05$ sec ?

$300 V$

$320 V$

$310 V$

$290 V$

$e = ?, N = 200, A = 0.2 m^{2}$ ,
$B_{1} = 0.1 Wb m^{- 2}$
$B_{2} = 0.5 Wb m^{- 2}, t = 0.05$ sec
$e = \frac{- ( ϕ _{2} - ϕ _{1} )}{t}$
$\Rightarrow \frac{- N A ( B _{2} - B _{1} )}{t}$
$\Rightarrow \frac{- 200 \times 0.2 ( 0.5 - 0.1 )}{0.05}$
$e = - 320 V$

Q. What is the emf induced in a coil of 200 turns and cross sectional area 0.2m2, when a magnetic field perpendicular to the plane of the coil changes from 0.1Wbm−2 to 0.5Wbm−2 at a uniform rate over a period of 0.05 sec ?

300V

320V

310V

290V