How do you do this problem?Using the expression relating the rate at which current changes in an inductor to the voltage produced at it, find the voltage across the inductor when a switch supplying 6.8 A to a 6.5 mH inductor is suddenly opened. Assume that current drops linearly to zero in 3.4 milliseconds.
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This Site Might Help You. RE: Voltage across an inductor? How do you do this problem? Using the expression relating the rate at which current changes in an inductor to the voltage produced at it, find the voltage across the inductor when a switch supplying 6.8 A to a 6.5 mH inductor is suddenly opened. Assume that current drops linearly to zero in 3.4
The voltage across an inductor is given by: v L di/dt You're told that the current drops linearly to zero (from 6.8A) in 3.4ms. So you can write the current as: i 6.8 - 2000t The slope (-2000) can be found fairly easily, it's just 6.8A divided by 0.0034 seconds, you can check to see that the formula works properly (i.e. the current at t0 is 6.8A, and at t3.4ms is 0). So now, just take the derivative of 'i' with respect to 't', and plug it into the formula for the voltage across an inductor and you have your answer. You should get a voltage of -13V.
