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In the circuit above, is there a potential for a glitch? If so, where?

A) No glitch in the circuit
B) Glitch at the resistor
C) Glitch at the capacitor
D) Glitch at the junction

1 Answer

3 votes

Final answer:

In a steady state, the voltage across the capacitor equals the battery voltage and the voltage across the resistor is zero as no current flows. After a switch is closed for a long time in an RC circuit, the current through each resistor and voltage across each resistor is zero, while the voltage across the fully charged capacitor equals the battery voltage.

Step-by-step explanation:

In the context of the circuit described, a potential glitch refers to an unexpected or sudden change in the circuit's behavior. Without a diagram, it's difficult to give a definitive answer. However, answering the GRASP CHECK question, when a circuit has reached a steady state, the voltage across the capacitor will be the same as the voltage of the battery. Since there is no current flowing in a steady-state DC circuit with a fully charged capacitor, the voltage across the resistor is zero. Therefore, the correct answer is c: The voltage across the capacitor is the same as the voltage of the battery. In the steady state, no current flows through this circuit, so the voltage across the resistor is zero.

For question 96, a long time after the switch is closed in an RC circuit, the capacitor becomes fully charged. At this point, the current through each resistor is zero (a), the voltage across each resistor is also zero (b), the voltage across the capacitor is equal to the battery voltage (c), and the charge on the capacitor can be found using the formula Q = CV, where C is capacitance and V is voltage (d). When the switch is opened and the capacitor begins to discharge, the time for the current to drop to one-fifth of its initial value depends on the time constant of the circuit, which is calculated by multiplying the capacitance by the equivalent resistance of the circuit (e).

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