Question 277: Electromagnetic Induction

Question

A conductor $$10 \mathrm{~cm}$$ long is moves with a speed $$1 \mathrm{~m} / \mathrm{s}$$ perpendicular to a field of strength $$1000 \mathrm{~A} / \mathrm{m}$$. The emf induced in the conductor is (Given : $$\mu_0=4 \pi 	imes 10^{-7} \mathrm{~Wb} / \mathrm{Am}$$ )

Accepted Answer

Given, length of conductor $$(I)=10 \mathrm{~cm}=0.1 \mathrm{~m}$$
Speed of conductor perpendicular to field, $$v=1 \mathrm{~m} / \mathrm{s}$$
Field strength, $$H=1000 \mathrm{~A} / \mathrm{m}$$
$$	herefore$$ Magnetic field, $$B=\mu_0 H$$
$$=4 \pi 	imes 10^{-7} 	imes 1000=4 \pi 	imes 10^{-4} \mathrm{~T}$$
Induced emf $$(\varepsilon)=v BI$$
$$\begin{aligned}
& =1 	imes 4 \pi 	imes 10^{-4} 	imes 0.1=4 \pi 	imes 10^{-5} \mathrm{~V} \
& =40 \pi \mu \mathrm{V}
\end{aligned}$$

Answer

$$\pi \mathrm{~mV}$$

Answer

$$2 \pi \mathrm{~mV}$$

Answer

$$40 \pi \mu \mathrm{~V}$$

Answer

$$4 \pi \mu \mathrm{~V}$$

Electromagnetic Induction

A conductor $10 \mathrm{~cm} long is moves with a speed 1 \mathrm{~m} / \mathrm{s} perpendicular to a field of strength 1000 \mathrm{~A} / \mathrm{m}. The emf induced in the conductor is (Given : \mu_0=4 \pi \times 10^{-7} \mathrm{~Wb} / \mathrm{Am}$ )

Choose the correct answer: