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A copper rod of length 0.19m is moving w...

A copper rod of length `0.19m` is moving with uniform velocity `10ms^(-1)` parallel to a long straight wire carrying a current of `5.0A`. The rod is perpendicular to the wire with its ends at distances `0.01` and `0.2m` from it. Calculate the emf induced in the rod.

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To solve the problem, we need to calculate the electromotive force (emf) induced in a copper rod that is moving parallel to a long straight wire carrying a current. The steps to find the induced emf are as follows: ### Step 1: Understand the setup We have a copper rod of length \( L = 0.19 \, \text{m} \) moving with a velocity \( v = 10 \, \text{m/s} \) parallel to a long straight wire carrying a current \( I = 5.0 \, \text{A} \). The rod is positioned such that its ends are at distances \( a = 0.01 \, \text{m} \) and \( b = 0.2 \, \text{m} \) from the wire. ### Step 2: Calculate the magnetic field (B) due to the wire The magnetic field \( B \) at a distance \( y \) from a long straight wire carrying current \( I \) is given by the formula: \[ ...
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