A square loop of side 22 cm is changed to a circle in time 0.4 sec with its plane normal to a magnetic field 0.2T. The emf induced is

+6.6 mv

No worries! We‘ve got your back. Try BYJU‘S free classes today!

-6.6 mv

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

+13.2 mv

No worries! We‘ve got your back. Try BYJU‘S free classes today!

-13.2 mv

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B -6.6 mv
$L = 22 c m = 0.22 m$ , $t = 0.4 s$ ,Area of square $A_{s} = L^{2} = (0.22)^{2} = 0.0484$ , $B = 0.2 T$ , $θ = 90 °$
Area of circle $A_{c} = π r^{2} = π (\frac{L}{2 π})^{2} = 0.00385 m^{2}$
Rate of change of magnetic field :
$ε = \frac{Δ ϕ_{B}}{Δ t} = \frac{B Δ A cos θ}{Δ t} = \frac{0.2 \times [0.00385 - 0.0484]}{0.4} \approx - 6.6 m V$

Suggest Corrections

Similar questions

Q. A square loop of side

22 cm

is changed to a circle in time

0.4 sec

with its plane normal to a magnetic field

0.2 T

. The emf induced is _______

mV

( Only magnitude)

A square loop of side 4 cm is lying on a horizontal table. A uniform magnetic field of 0.5 T is directed downwards at an angle of $60^{o}$ to the vertical as shown in Fig. 25.3. If the field increases from zero to its final value in 0.2 s, the emf induced in the loop will be

Q. A magnetic field B = 2t T exist in a cylinderical region as shown in figure. A square loop of side l = 2cm is placed inside the cylinder; such that, one of its vertices is at center of the cylinder. EMF induced in side AB of the square is

Q. A rectangular loop of sides 8 cm and 2 cm with a small break in it is moving out of a region of uniform magnetic field of 0.3 T, directed normal to the loop. At a particular instant, half of the loop is outside the magnetic field and half is inside the magnetic field. What is the emf developed across the break if the velocity of the loop is 1

c m s^{- 1}

in a direction normal to the longer side of the loop ?

Q. A square loop of side

22 cm

is changed into a circle in

0.4 sec

, inside a uniform magnetic field of

0.2 T

. The emf induced is,

Join BYJU'S Learning Program

A square loop of side 22 cm is changed to a circle in time 0.4 sec with its plane normal to a magnetic field 0.2T. The emf induced is

The correct option is B -6.6 mvL=22cm=0.22m ,t=0.4s ,Area of square As=L2=(0.22)2=0.0484,B=0.2T ,θ=90°Area of circle Ac=πr2=π(L2π)2=0.00385m2Rate of change of magnetic field :ε=ΔϕBΔt=BΔAcosθΔt=0.2×[0.00385−0.0484]0.4≈−6.6mV