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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 of determining the current through a circular conducting loop placed in a uniform magnetic field, we will follow these steps: ### Step 1: Identify the Magnetic Field and Loop Orientation The magnetic field is given as \(\bar{B} = B_0 t \hat{k}\), where \(B_0\) is a constant, \(t\) is time, and \(\hat{k}\) is the unit vector in the z-direction. The circular loop lies in the x-y plane. ### Step 2: Calculate the Magnetic Flux The magnetic flux \(\Phi\) through the loop is given by: \[ ...
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