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Q.

Two concentric coplanar circular loops made of wire, resistance per unit length 10-4Ωm-1, have diameters 0.2 m and 2 m. A time-varying potential difference (4 + 2.5t) volt is applied to the larger loop. Calculate the current in the smaller loop (in A).

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answer is 1.25.

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Detailed Solution

The magnetic field at the centre O due to the current in the larger loop is B=μ0I2RIf r is the resistance per unit length, thenI=potential differenceresistance=4+2.5t2πR.ρ∴  B=μ02R.4+2.5t2πRρ∴r<
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