Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 25, Problem 21P
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in the curcuit shown in the figure , the S switch is closed at t = 0 and the capacitors, which are completely empty, begin to fill. Here E = 20 V , C = 4uF and R = 30 ohm.
a) what is the time constant of the circuit , T in units of microseconds?
b)when t=T , what is the total charge , in units of microcloumb accumulated in the capacitors ?
A block of weakly-conducting material with conductivity sigma has two pieces of metalembedded inside, which form a capacitor with capacitance C.(a) Find the resistance R between the two pieces of metal.(b) At t = 0, the two pieces of metal have a potential difference V0, and at future times t not equal to 0the potential is V (t) = V0e-t/TFind T
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In the circuit shown in the figure, the S switch is closed at t = 0 and the capacitors, which are completely empty, begin to fill. Here & = 15 V,
C = 9 uF and R
65 0.
A) What is the time constant of the circuit, T, in units of microseconds?
Answer:
B) When t = T, what is the total charge, in units of microcoulomb, accumulated in the capacitors?
Answer:
Chapter 25 Solutions
Physics for Scientists and Engineers
Ch. 25 - Prob. 1PCh. 25 - Prob. 2PCh. 25 - Prob. 3PCh. 25 - Prob. 4PCh. 25 - Prob. 5PCh. 25 - Prob. 6PCh. 25 - Prob. 7PCh. 25 - Prob. 8PCh. 25 - Prob. 9PCh. 25 - Prob. 10P
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- For the circuit shown in the figure, V = 60 V, C = 20 uF, and R = 0.10 MQ. Initially the switch S is open and the capacitor is uncharged. The switch is then closed at time t = 0.00 s. What is the charge on the capacitor 8.0 s after closing the switch? C Hint: Straightforward use of the charge vs. time expression. Standard units during the calculation! O 1600 uC O 1200 uc O 1400 uC O 1900 uC O 940 uCarrow_forwardWhile the switch is open, denote the energy stored in capacitor C1 with U0. After the switch has been closed for a long time, denote the energy stored in C1 with U1. Find the ratio U0/U1. Assume R1=1.87 ohm.arrow_forwardFor the circuit shown in the figure, V = 20 V, C = 10 μF, R = 0.80 MQ, and the battery is ideal. Initially the switch S is open and the capacitor is uncharged. The switch is then closed at time t = 0.00 s. What is the charge across the capacitor 20 s after closing the switch? { www R O 0.18 mC O 1.5 mC O 0.48 mC O 3.0 MC O 2.3 MCarrow_forward
- In the circuit shown in the figure, the S switch closed at t=0 and the capacitors, which are completely empty, begin to fill. Here ε=10 V, C=5 μF and R=55 Ω. What is the time constant of the circuit, τ, in units of microseconds? When t= τ, what is the total charge, in units of microcoulomb, accumulated in the capacitors?arrow_forwardThe figure shows an open switch, a battery of potential difference V, a current-measuring meter A, and three identical uncharged capacitors of capacitance C. (A) (a) When the switch is closed and the circuit reaches equilibrium, what is the potential difference across each capacitor? A) Ov O v/3 O 3V (b) When the switch is closed and the circuit reaches equilibrium, what is the charge on the left plate of each capacitor? (A) O CV/3 O Cy O 3CV (c) During charging, what net charge passes through the meter? (A) O Cv/3 O CV O 3CVarrow_forwarda) After a time interval of 1.50 ms, what is the value of the remaining charge (in μC) on the 3.00 uF capacitor? uc (b) After a time interval of 1.50 ms, what is the value of the remaining charge (in µC) on the 2.00 µF capacitor? μC (c) What is the current (in mA) in the resistor at this time? MAarrow_forward
- A capacitor of capacitance C = 3 uF has been charged so that the potential difference between its plates is V0 = 245V. The capacitor is then connected to a resistor of resistance R = 14 kOhm. The switch S is closed, and the capacitor begins to discharge. C = 3 uF V0 = 245 V R = 14 kOhm (b) Calculate the charge Q0 on the capacitor before the switch is closed, in coulombs. (d) Calculate the potential difference VC in volts between the capacitor plates at time t = 5.0 ms after the switch is closed.arrow_forwardConsider the circuit shown in the figure below, where C1 = 8.00 µF, C2 = 8.00 µF, and ΔV = 18.0 V. Capacitor C1 is first charged by closing switch S1. Switch S1 is then opened, and the charged capacitor is connected to the uncharged capacitor by closing S2. (a) Calculate the initial charge (in µC) acquired by C1. (Round your answer to at least one decimal place.) (b) Calculate the final charge (in µC) on each capacitor. (Round your answers to at least the nearest integer.) (c) What If? After a very long time, switch S1 is also closed. By what amount does the charge on the second capacitor change after S1 has been closed for a very long time? (Give your answer in µC.) Note: See image for the figurearrow_forwardA capacitor with a capacitance of 3.5 uF is initially uncharged. It is connected in series with a switch of negligible resistance, a resistor with a resistance of 10.5 kOhm, and a battery that has a potential difference of 105V. (a) Immediately after the switch is closed, what is the voltage drop VC, in volts, across the capacitor? (b) Immediately after the switch is closed, what is the voltage drop VR, in volts, across the resistor? (c) Immediately after the switch is closed, what is the current, in amperes, through the resistor? (d) Find an expression for the time after the switch is closed when the current in the resistor equals half its maximum value. (e) What is the charge Q, in microcoulombs, on the capacitor when the current in the resistor equals one half its maximum value.arrow_forward
- 95 In Fig. 27-79, E, = 6.00 V, = 12.0 V, R = 100 0, R, = 200 N, and R, = 300 N. One point of the circuit is grounded (V = the (a) size and (b) direction (up or down) of the current through resistance 1, the (c) size and (d) direction (left or right) of the current through resistance 2, and the (e) size and (f) direction of the current through resistance 3? (g) What is the electric potential at point A? 0), What arearrow_forwardQ (C) capacitor P kapasitor P 0.63 Q. 0.37 Q. 2 uF 3 µF 37 80 5 uF (a) (b) FIGURE 2 RAJAH 2 The graph in FIGURE 2(a) shows how the charge, Q on a capacitor P changes with time, I when it is charged through a 20 Q resistor. Determine the capacitance of capacitor P. (a) Graf dalam RAJAH 2(a) menunjukkan bagaimana cas, Q pada satu kapasitor P berubah dengan masa, t apabila ia dicas melalui satu perintang 20 2. Tentukan kapasitans bagi kapasitor P. (b) Capacitor P is then arranged as shown in FIGURE 2(b). Determine the effective capacitance. Kapasitor P kemudian disusun seperti RAJAH 2(b). Tentukan kapasitans berkesan. 2.arrow_forwardIn an experiment in which a circular parallel plate capacitor in a circuit with a battery has the radius and plate separation grow at the same relative rate, what will happen to the total charge on the capacitor?arrow_forward
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