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- Ralph has three resistors, R1, R2, and R3, connected in series. When connected to an ideal emf source E1, current I1 flows through the resistors. a. If the resistors are instead connected to a second source with E2=2E1, what is the new current through the resistors in terms of the first current? b. Show that, if each resistance is doubled and the resistors are connected in series to the second emf source, the current through the resistors is equal to I1.Consider a series RC circuit as in Figure P28.38 for which R = 1.00 M, C = 5.00 F, and = 30.0 V. Find (a) the time constant of the circuit and (b) the maximum charge on the capacitor after the switch is thrown closed. (c) Find the current in the resistor 10.0 s after the switch is closed.A 20.00-V battery is used to supply current to a 10-k resistor. Assume the voltage drop across any wires used for connections is negligible, (a) What is the current through the resistor? (b) What is the power dissipated by the resistor? (c) What is the power input from the battery; assuming all the electrical power is dissipated by the resistor? (d) What happens to the energy dissipated by the resistor?
- A 160F capacitor charged to 450 V is dischargedthrough a 31.2k resistor, (a) Find the time constant.(b)Calculate the temperature increase of the resistor, given that its mass is 2.50 g and its specific heat is 1.67kJ/kg °C,noting that most of the thermal energy is retained in the short time of the discharge, (c) Calculate the new resistance, assuming it is pure carbon. (d) Does this change in resistance seem significant?(a) When the switch S in the circuit of Figure P28.14 is closed, will the equivalent resistance between points a and b increase or decrease? State your reasoning. (b) Assume the equivalent resistance drops by 50.0% when the switch is closed. Determine the value of R.Consider the circuit shown in Figure P28.21 on page 860. (a) Find the voltage across the 3.00-0 resistor, (b) Find the current in the 3.00-12 resistor.
- A 403 Ω resistor, an uncharged 102 μF capacitor, and a 4.01V emf are connected in series. The capacitor is initially uncharged. What is the current, in amperes, after one time constant has elapsed?If 480 C pass through a 4.0- resistor in 10 min, what is the potential difference across the resistor?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.
- The circuit shows R= 8ohms, Emf1= 10V and Emf2= 15V. What is the power delivered to the 10R resistor in W?A 260-V emf is connected to the terminals A and B. Here,V = 260V, R1 = 16 Ω, and R2 = 19Ω. What is the equivalent resistance between points A and B? What is the current in the 16-Ω resistor?A capacitor charging circuit consists of a battery, an uncharged 20 μF capacitor, and a 5.6 kΩkΩ resistor. At t = 0 ss the switch is closed; 0.15 s later, the current is 0.46 mA . What is the battery's emf?