2 Write down the third microscopic Maxwell's equation, both in differential and integral form. Now consider a square loo
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2 Write down the third microscopic Maxwell's equation, both in differential and integral form. Now consider a square loo
2 Write down the third microscopic Maxwell's equation, both in differential and integral form. Now consider a square loop of thin wire of side length a in the x-y plane. At t = 0 a time-dependent magnetic field B(t) = Bot²e, is switched on. Determine the electromotive force (t) induced in the wire loop. [3] Assume the wire (total resistance R) can carry a critical current Ier before it melts. Determine an expression for the time ter it will take until the wire melts. [2] 3 Write down the fourth microscopic Maxwell's equation in differential form. Derive the continuity equation connecting the electric charge density p and current density J. [3] = Are the current density (r, t) with the continuity equation? -ax²e and charge density p(r,t) = 2axt consistent
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