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There exists a uniform magnetic field ba...

There exists a uniform magnetic field `bar B = B_(0)t bar k` in a region. A circular conducting loop of radius r and resistance R is placed with its plane in x-y plane. Determine the current through the loop and sense of the current.

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To solve the problem, we need to determine the current flowing through a circular conducting loop placed in a uniform magnetic field that varies with time. Here are the steps to find the current and its direction: ### Step 1: Identify the Magnetic Field and Area The magnetic field is given as \(\bar{B} = B_0 t \hat{k}\), where \(B_0\) is a constant and \(t\) is time. The area \(A\) of the circular loop with radius \(r\) is given by: \[ A = \pi r^2 \] ...
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