Inside a long cylindrical solenoid of radius \(R\) exists a magnetic field that is approximately....

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Inside a long cylindrical solenoid of radius \(R\) exists a magnetic field that is approximately uniform in space but varies with time as \(B=B_0-\beta . t\), where \(B_0\) and \(\beta\) are positive numbers. \(B\) points out of the paper at \(t=0\) in an end-on view of the solenoid as shown below. The magnitude and direction of the electric field at a radial distance \(2 R\) from the axis of the solenoid is
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