In Figure P28.71, suppose the switch has been closed for a time sufficiently long for the capacitor to become fully charged. Find (a) the steady-state current in each resistor and (b) the charge Q on the capacitor. (c) The switch is now opened at t = 0. Write an equation for the current IR2 through R2 as a function of time and (d) find the time interval required for the charge on the capacitor to fall to one-fifth its initial value.
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In Figure P28.71, suppose the switch has been closed for a time sufficiently long for the capacitor to become fully charged. Find (a) the steady-state current in each resistor and (b) the charge Q on the capacitor. (c) The switch is now opened at t = 0. Write an equation for the current IR2 through R2 as a function of time and (d) find the time interval required for the charge on the capacitor to fall to one-fifth its initial value.
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- A 2.00-nF capacitor with an initial charge of 5.81 µC is discharged through a 1.56-kΩ resistor. (a) Calculate the current in the resistor 9.00 µs after the resistor is connected across the terminals of the capacitor. (Let the positive direction of the current be define such that dQ dt > 0.) mA (b) What charge remains on the capacitor after 8.00 µs? µC (c) What is the (magnitude of the) maximum current in the resistor? AConsider the circuit shown below where the battery has an emf of & = 93 V, the resistors have the resistances of R1=10 0, R2 = R3 = 11 Q, and the capacitance of the capacitor is C=2 µF. The switch S is closed at t=0. The capacitor is initially uncharged. At t=0, what is the current running through R2? Please express your answer using one decimal place in units of Ampere (A). R1 S R3 R23 CA current I flows through a resistor. A source maintains a potential difference of V across the resistor. The energy supplied by the source in time t is A) V I t2 B) V I C) V I t D) V I/t
- The figure below shows a capacitor, with capacitance C = 45.0 µF, and a resistor, with resistance R = 60.0 kN, connected in series to battery, with & = 15.0 V. The circuit has a switch, which is initially open. R (a) What is the circuit's time constant (in s)? (b) After the switch is closed for one time constant, how much charge (in C) is on the capacitor?When the switch is in position a below, the battery charges the positive parallel plate of the capacitor to Q = 900 µC. The switch then swings to position b, the charge Q flows through the resistor R, and the capacitor’s stored energy U is turned into heat energy. Assume the capacitor has capacitance C = 8.00 µF. Use conservation of energy to find the amount of heat (in Joules) produced during the capacitor’s discharge.A 2.00-nF capacitor with an initial charge of 5.27 µC is discharged through a 2.47-k2 resistor. dQ (a) Calculate the current in the resistor 9.00 µs after the resistor is connected across the terminals of the capacitor. (Let the positive direction of the current be define such that > 0.) dt (b) What charge remains on the capacitor after 8.00 µs? (c) What is the (magnitude of the) maximum current in the resistor? A
- A 2.00-nF capacitor with an initial charge of 4.98 ?C is discharged through a 1.31-kΩ resistor. (a) Calculate the magnitude of the current in the resistor 9.00 ?s after the resistor is connected across the terminals of the capacitor. mA(b) What charge remains on the capacitor after 8.00 ?s? ?C(c) What is the maximum current in the resistor? AA 2.00-nF capacitor with an initial charge of 4.80 μC is discharged through a 1.25-k2 resistor. (a) Calculate the magnitude of the current in the resistor 9.00 us after the resistor is connected across the terminals of the capacitor. mA (b) What charge remains on the capacitor after 8.00 µs? μC (c) What is the maximum current in the resistor? AA capacitor of capacitance C = 1 μF has been charged so that the potential difference between its plates is V0 = 295 V. The capacitor is then connected to a resistor of resistance R = 11.5 kΩ. The switch S is closed, and the capacitor begins to discharge. Calculate the time T in s after which the charge on the capacitor has decreased to one fourth its maximum value.
- An uncharged capacitor and a resistor are connected in series to a battery as shown, where ε = 12.0 V, C = 5.00 μF, and R = 8.00 x 105 Ω. The switch is thrown to position a. Find the time constant of the circuit, the maximum charge on the capacitor, the maximum current in the circuit, and the charge and current as functions of time.In the shown circuit, the capacitor is initially uncharged. The switch S is closed at time t-0. Find the current in the circuit (in uA) when the charge on the capacitor is 9.4 µC. 10 V 2.0uF 0.05 MOYou connect a battery, resistor, and capacitor as shown in Figure, where s = 36.0 V, C = 5.00 μF, and R = 120 Q2. The switch $ is closed at t=0. (a) When the voltage across the capacitor is 8.00 V, what is the magnitude of the current in the circuit? (b) At what time t after the switch is closed is the voltage across the capacitor 8.00 V? (c) When the voltage across the capacitor is 8.00 V, at what rate is energy being stored in the capacitor? ation i0 ww Switch open q=0