A closed coil having 20 turns, area of cross-section 1 cm2 and negligible resistance are connected to a ballistic galvanometer of resistance 30 ohms. If the normal of the coil is inclined at 60o to the direction of a magnetic field of intensity 1.5 Wb/m2, the coil is quickly pulled out of the field to a region of zero magnetic field, the charge (in μC) passed through the galvanometer is ______.
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answer is 50.
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Detailed Solution
The total flux linked with the coil having turns N and area A isϕinitial =N(B→⋅A→)=NBAcosθ=NBAcos60∘=NBA2When the coil is pulled out, the flux becomes zero ϕfinal =0 The change in flux is Δϕ=NBA2−0Hence the charge flowed through the circuit isq=ΔϕR=NBA2R=20×1.5×10−42×30=5.0×10−5C=50.0μC