A wire loop that encloses an area of 20 c m 2 has a resistance of 10 Ω . The loop is placed in a magnetic field of 2.4 T with its plane perpendicular to the field. The loop is suddenly removed from th

Question

A wire loop that encloses an area of 20 c m 2 has a resistance of 10 Ω . The loop is placed in a magnetic field of 2.4 T with its plane perpendicular to the field. The loop is suddenly removed from the field. How much charge flows past a given point in the wire?

TestHub · Accepted Answer

Given, Resistance, R = 10 Ω Area of the loop, A = 20 c m 2 = 20 × 10 - 4 m 2 Magnetic field, B = 2.4 T As we know, induced emf e = + d ϕ d t ⇒ I R = d ϕ d t ⇒ d Q d t . R = d ϕ d t ⇒ ∫ d Q = ∫ d ϕ R ⇒ Q = ϕ R [ ∵ ϕ = B A cos 0 o = B A ] = ( 20 × 10 - 4 ) ( 2.4 ) 10 = 4.8 × 10 - 4 C

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