Question

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find out the total strain induced in a wire having the length of 10 cm and 6 cm breadth if change in length is 1 cm​

Answer 1

Step-by-step explanation:

ANSWER

Length of the rectangular wire, l=8cm=0.08m

Width of the rectangular wire, b=2cm=0.02m

Hence, area of the rectangular loop,

A=lb

=0.08×0.02

=16×10

−4

m

2

Magnetic field strength, B=0.3T

Velocity of the loop, v=1cm/s=0.01m/s

(a)

Emf developed in the loop is given as:

e=Blv

=0.3×0.08×0.01=2.4×10

−4

V

Time taken to travel along the width, t=

Velocity

Distancetravelled

=

v

b

=

0.01

0.02

=2s

Hence, the induced voltage is 2.4×10

−4

V which lasts for 2 s.

(b)

Emf developed, e=Bbv

=0.3×0.02×0.01=0.6×10

−4

V

Time taken to travel along the length, t=

Velocity

Distancetraveled

=

v

l

=

0.01

0.08

=8s

Hence, the induced voltage is 0.6×10

−4

V which lasts for 8 s.