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Question

(a) Th emagnetic field in a region varies as shown in figure (38-E1). Calculate the average induced emf in a conducting loop of area 2.0×103m2 placed perpendicular to the field in each of the 10 ms intervals shown. (b) In which intervals is the emf not constant? Neglect the behaviour near the ends of 10 ms intervals.


Solution

ϕ2=B.A=0.01×2×103

=2×105[Sinceϕ1=0]

dϕ=2×105

e=dϕdt=2×10510×103

=2×103=2mV

ϕ3=B.A=0.03×2×103

=6×105

dϕ=4×105

e=dϕdt=4mV

ϕ4=B.A=0.01×2×103

=2×105

dϕ=4×105

e=dϕdt=4mV

ϕ5=B.A.=0

dϕ=2×105

e=dϕdt=(2)×(105)10×103=2mV.

(b)Emf is not constant in case of 1020 ms and 20 ms -30 ms as -4 mV and 4m.

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