Suppose you have three identical lightbulbs, some wire, and a battery. You connect one lightbulb to the battery and take note of its brightness. You add a second lightbulb, connecting it in parallel with the previous lightbulbs, and again take note of the brightness. Repeat the process with the third lightbulb, connecting it in parallel with the other two. As the lightbulbs are added, what happens to (a) the brightness of the lightbulbs? (b) The individual currents in the lightbulbs? (c) The power delivered by the battery? (d) The lifetime of the battery? (Neglect the battery’s internal resistance.)
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Chapter 18 Solutions
Bundle: College Physics, Loose-Leaf Version, 10th, + WebAssign Printed Access Card for Serway/Vuille's College Physics, 10th Edition, Multi-Term
- Figure P18.37 shows a simplified model of a cardiac defibrillator, a device used to patients in ventricular fibrillation. When the switch S is toggled to the left, the capacitor C charges through the resistor R .When the switch is toggled to the right, the capacitor discharges current through the patients torso, modeled as the resistor Rtorso, allowing the hearts normal rhythm to be reestablished. (a) If the capacitor is initially uncharged with C = 8.00 F and = 1250 V, find the value of R required to charge the capacitor to a voltage of 775 V in 1.50 s. (b) If the capacitor is then discharged across the patients torso with, Rtorso = 1250 , calculate the voltage across the capacitor after 5.00 ms. Figure P18.37arrow_forwardIn the circuit of Figure P27.25, the switch S has been open for a long time. It is then suddenly closed. Take = 10.0 V, R1 = 50.0 k, R2 = 100 k, and C = 10.0 F. Determine the time constant (a) before the switch is closed and (b) after the switch is closed. (c) Let the switch be closed at t = 0. Determine the current in the switch as a function of time. Figure P27.25 Problems 25 and 26.arrow_forwardA potential difference of 1.00 V is maintained across a 10.0- resistor for a period of 20.0 s. What total charge passes by a point in one of the wires connected to the resistor in this time interval? (a) 200 C (b) 20.0 C (c) 2.00 C (d) 0.005 00 C (e) 0.050 0 Carrow_forward
- Figure P18.37 shows a simplified model of a cardiac defibrillator, a device used to patients in ventricular fibrillation. When the switch S is toggled to the left, the capacitor C charges through the resistor R .When the switch is toggled to the right, the capacitor discharges current through the patients torso, modeled as the resistor Rtorso, allowing the hearts normal rhythm to be reestablished. (a) If the capacitor is initially uncharged with C = 8.00 F and = 1250 V, find the value of R required to charge the capacitor to a voltage of 775 V in 1.50 s. (b) If the capacitor is then discharged across the patients torso with, Rtorso = 1250 , calculate the voltage across the capacitor after 5.00 ms. Figure P18.37arrow_forwardA capacitor with initial charge Q0 is connected across a resistor R at time t = 0. The separation between the plates of the capacitor changes as d = d0/(1 + t) for 0 t 1 s. Find an expression for the voltage drop across the capacitor as a function of time.arrow_forwardIn the circuit of Figure P21.57, the switch S has been open for a long time. It is then suddenly closed. Take = 10.0 V, R1 = 50.0 k, R2 = 100 k, and C = 10.0 F. Determine the time constant (a) before the switch is closed and (b) after the switch is closed. (c) Let the switch be closed at t = 0. Determine the current in the switch as a function of time.arrow_forward
- > You are to connect resistors R₁ and R₂, with R₁ R₂, to a battery, first individually, then in series, and then in parallel. Rank those arrangements according to the amount of current through the battery, greatest first. O (R₁ and R₂ in parallel) > (R₂) > (R₁) > (R₁ and R₂ in series) O (R₂) > (R₁) > (R₁ and R₂ in series) > (R₁ and R₂ in parallel) O (R₂) > (R₁) > (R₁ and R₂ in parallel) > (R₁ and R₂ in series) O (R₁ and R₂ in series) > (R₁) > (R₂) > (R₁ and R₂ in parallel)arrow_forwardGiven two batteries: one with voltage V and internal resistance r₁; another with also voltage V and internal resistance r2. Which of the following is true if we connect them in series with the same polarity (facing the same direction)? O The total voltage will be 2V while the total internal resistance will be r₁ + r2. O The total voltage will be V, while the total internal resistance will be either r₁ or r2. O No voltage will remain while the total internal resistance will be r₁ + r2. O The total voltage will be V, while the total internal resistance will be r₁ + 12.arrow_forwardThree 100 0 resistors are connected as shown in the figure. The maximum power that can safely be delivered to any one resistor is 22.5 W. 100 N 100 2 100 N (a) What is the maximum potential difference that can be applied to the terminals a and b? |v (b) For the voltage determined in part (a), what is the power delivered to each resistor? resistor on the left resistor at the top of the loop resistor at the bottom of the loop (c) What is the total power delivered to the combination of resistors?arrow_forward
- In the figure R₁-2150, R₂-7.570, and the ideal battery has emf t-120 V. What is the current at point a if we close (a) only switch S₁. (b) only switches S₁ and S₂, and (c) all three switches? 18R₁R₁R₁ ܢܚܢܚܢܚܐ R₁ R₂ (a) Number (b) Number (c) Number R₂ Units Units Unitsarrow_forwardYou are to connect resistors R1 and R2, with R1 > R2, to a battery, first individually, then in series, and then in parallel. Rank those arrangements according to the amount of current through the battery, greatest first.arrow_forwardThe capacitor is originally charged. How does the current (I) in the ammeter behave as a function of time after the switch is closed?arrow_forward
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