Explanation Given Information: The voltage is discharged in an electric capacitor through a resistor after time t is given by, E = E 0 e − t R C Where, E 0 is the initial voltage in volts, C is the capacitance in farads, t is the time required for E 0 to decrease to E and R is the resistance in ohm. The initial voltage is 25.0 mV , the resistance is 1.85 Ω and the capacitance is 0.450 F . Formula used: The formula to calculate the exponential decay is as follows, y = A e − r t Where, y is the amount present at any time, A is the original amount, e is the natural number (exponential), r is the rate of decay and t is time for which the decay occurred. Calculation: Consider the function, E = E 0 e − t R C . Where, E 0 is the original voltage in volts (V), t is the time required for E 0 to decrease to E , R is the resistance in ohms ( Ω ) and C is the capacitance in farads (F). The initial voltage is 25.0 mV , the resistance is 1.85 Ω and the capacitance is 0

The voltage after 0.500 s if the initial voltage is 25.0 mV with the resistance of 1.85 Ω and the capacitance of 0.450 F .

Elementary Technical Mathematics

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter A, Problem 28E

To determine

To calculate: The voltage after 0.500 s if the initial voltage is 25.0mV with the resistance of 1.85Ω and the capacitance of 0.450F.

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The voltage after 0.500 s if the initial voltage is 25.0 mV with the resistance of 1.85 Ω and the capacitance of 0.450 F .

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To calculate: The voltage after 0.500 s if the initial voltage is 25.0mV with the resistance of 1.85Ω and the capacitance of 0.450F.

Chapter A Solutions