Question 173: Electromagnetic Induction

Question

A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rad s
$$-$$1
in a uniform horizontal magnetic field of 3.0 $$	imes$$ 10
$$-$$2
T. The maximum emf induced the coil will be ................. $$	imes$$ 10
$$-$$2
volt (rounded off to the nearest integer)

Accepted Answer

Maximum emf $$\varepsilon  = N\,\omega AB$$
N = 20, $$\omega$$ = 50, B = 3 $$	imes$$ 10
$$-$$2
T
$$\varepsilon $$ = 20 $$	imes$$ 50 $$	imes$$ $$\pi$$ $$	imes$$ (0.08)
2
$$	imes$$ 3 $$	imes$$ 10
$$-$$2
= 60.28 $$	imes$$ 10
$$-$$2
Rounded off to nearest integer = 60

Electromagnetic Induction

A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rad s $-1 in a uniform horizontal magnetic field of 3.0 \times 10 -2 T. The maximum emf induced the coil will be ................. \times 10 -$2 volt (rounded off to the nearest integer)

Integer / Numeric Answer Type