19) A series circuit consists of 1.02 V source of emf, a 2.00 mF capacitor, a 10

Question

19) A series circuit consists of 1.02 V source of emf, a 2.00 mF capacitor, a 1000 resistor, and a switch. When the switch is closed, how long does it take for the current to reach one-half its maximum value ? 20) By how much does the current fall after the switch is closed in a series RC circuit when three time constants have elapsed ? 19) A series circuit consists of 1.02 V source of emf, a 2.00 mF capacitor, a 1000 resistor, and a switch. When the switch is closed, how long does it take for the current to reach one-half its maximum value ? 20) By how much does the current fall after the switch is closed in a series RC circuit when three time constants have elapsed ?

Explanation / Answer

19) I = ½ I0 = I0e-t/RC: ln(1/2) = -t/RC: t = -ln(1/2)*RC = 1.39 s 20) A system is considered to have changed its state after the elapse of three time constants, which corresponds to a 95% change in state. For example, if an electrical capacitor, having a capacitance of C farads, is discharged through a resistor, having a resistance of R ohms, the capacitor will be approximately 95% discharged after the elapse of 3RC seconds A system is considered to have changed its state after the elapse of three time constants, which corresponds to a 95% change in state. For example, if an electrical capacitor, having a capacitance of C farads, is discharged through a resistor, having a resistance of R ohms, the capacitor will be approximately 95% discharged after the elapse of 3RC seconds

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