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Radiotherapy devices often utilize linear particle accelerators that require a high voltage pulse. A Marx generator is a circuit that allows the input voltage to be multiplied and delivered to a load in a short period of time. In the circuit shown in the figure, a fixed voltage source is applied between points a and b, and the capacitors are charged in parallel with all four switches open. R₁ a R₁ ww R₁ C2. C3. S₁a S2° S3 ww R₁ www R₁ www R3 b SA www R₂ d Next, the voltage source is removed and switches S₁ and S2 are closed, connecting the capacitors in series. When switches S3 and S4 are closed, the capacitors discharge across the load connected between points c and d. During the discharge, the resistors R₁ can be ignored since the current will follow the path of zero resistance through the closed switches. In one such device, AV- ab = 100 V, C₁ = C₂ = C3 = 19.3 µF, R₁ = 140 Q, R₂ = 14.00, and R3 = 70.0 0. (a) What is the final charge (in mC) on each of the capacitors when the voltage source is applied across points a and b and all four switches are open? Q2 Q3 = 1.93 = 1.93 1.93 mC mC mc (b) How long does it take for each of the capacitors to reach 99.0% of their maximum charge? = 12.4 ms = 37.3 ms = 62.2 ms (c) When the voltage source is removed between points a and b and all four switches are closed, what is the initial current (in A) in the circuit if points c and d are connected across a load with a resistance of 1.00 kQ? A (d) What is the initial voltage (in V) across points c and d immediately after all four switches are closed? V (e) What is the time interval (in ms) required for the current in the circuit to reach 20.0% of its initial value after all four switches are closed? ms

Radiotherapy devices often utilize linear particle accelerators that require a high voltage pulse. A Marx generator is a circuit that allows the input voltage to be multiplied and delivered to a load in a short period of time. In the circuit shown in the figure, a fixed voltage source is applied between points a and b, and the capacitors are charged in parallel with all four switches open. R₁ a R₁ ww R₁ C2. C3. S₁a S2° S3 ww R₁ www R₁ www R3 b SA www R₂ d Next, the voltage source is removed and switches S₁ and S2 are closed, connecting the capacitors in series. When switches S3 and S4 are closed, the capacitors discharge across the load connected between points c and d. During the discharge, the resistors R₁ can be ignored since the current will follow the path of zero resistance through the closed switches. In one such device, AV- ab = 100 V, C₁ = C₂ = C3 = 19.3 µF, R₁ = 140 Q, R₂ = 14.00, and R3 = 70.0 0. (a) What is the final charge (in mC) on each of the capacitors when the voltage source is applied across points a and b and all four switches are open? Q2 Q3 = 1.93 = 1.93 1.93 mC mC mc (b) How long does it take for each of the capacitors to reach 99.0% of their maximum charge? = 12.4 ms = 37.3 ms = 62.2 ms (c) When the voltage source is removed between points a and b and all four switches are closed, what is the initial current (in A) in the circuit if points c and d are connected across a load with a resistance of 1.00 kQ? A (d) What is the initial voltage (in V) across points c and d immediately after all four switches are closed? V (e) What is the time interval (in ms) required for the current in the circuit to reach 20.0% of its initial value after all four switches are closed? ms

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter27: Capacitors And Batteries
Section: Chapter Questions
Problem 17PQ: A pair of capacitors with capacitances CA = 3.70 F and CB = 6.40 F are connected in a network. What...
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Radiotherapy devices often utilize linear particle accelerators that require a high voltage pulse. A Marx generator is a circuit that allows the input voltage to be multiplied and delivered to a load in a short period of time. In the circuit shown in the figure, a fixed voltage source is applied between points a and b, and the capacitors are charged in parallel with all four switches open. R₁ a R₁ ww R₁ C2. C3. S₁a S2° S3 ww R₁ www R₁ www R3 b SA www R₂ d Next, the voltage source is removed and switches S₁ and S2 are closed, connecting the capacitors in series. When switches S3 and S4 are closed, the capacitors discharge across the load connected between points c and d. During the discharge, the resistors R₁ can be ignored since the current will follow the path of zero resistance through the closed switches. In one such device, AV- ab = 100 V, C₁ = C₂ = C3 = 19.3 µF, R₁ = 140 Q, R₂ = 14.00, and R3 = 70.0 0. (a) What is the final charge (in mC) on each of the capacitors when the voltage source is applied across points a and b and all four switches are open? Q2 Q3 = 1.93 = 1.93 1.93 mC mC mc (b) How long does it take for each of the capacitors to reach 99.0% of their maximum charge? = 12.4 ms = 37.3 ms = 62.2 ms (c) When the voltage source is removed between points a and b and all four switches are closed, what is the initial current (in A) in the circuit if points c and d are connected across a load with a resistance of 1.00 kQ? A (d) What is the initial voltage (in V) across points c and d immediately after all four switches are closed? V (e) What is the time interval (in ms) required for the current in the circuit to reach 20.0% of its initial value after all four switches are closed? ms
Transcribed Image Text:Radiotherapy devices often utilize linear particle accelerators that require a high voltage pulse. A Marx generator is a circuit that allows the input voltage to be multiplied and delivered to a load in a short period of time. In the circuit shown in the figure, a fixed voltage source is applied between points a and b, and the capacitors are charged in parallel with all four switches open. R₁ a R₁ ww R₁ C2. C3. S₁a S2° S3 ww R₁ www R₁ www R3 b SA www R₂ d Next, the voltage source is removed and switches S₁ and S2 are closed, connecting the capacitors in series. When switches S3 and S4 are closed, the capacitors discharge across the load connected between points c and d. During the discharge, the resistors R₁ can be ignored since the current will follow the path of zero resistance through the closed switches. In one such device, AV- ab = 100 V, C₁ = C₂ = C3 = 19.3 µF, R₁ = 140 Q, R₂ = 14.00, and R3 = 70.0 0. (a) What is the final charge (in mC) on each of the capacitors when the voltage source is applied across points a and b and all four switches are open? Q2 Q3 = 1.93 = 1.93 1.93 mC mC mc (b) How long does it take for each of the capacitors to reach 99.0% of their maximum charge? = 12.4 ms = 37.3 ms = 62.2 ms (c) When the voltage source is removed between points a and b and all four switches are closed, what is the initial current (in A) in the circuit if points c and d are connected across a load with a resistance of 1.00 kQ? A (d) What is the initial voltage (in V) across points c and d immediately after all four switches are closed? V (e) What is the time interval (in ms) required for the current in the circuit to reach 20.0% of its initial value after all four switches are closed? ms
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