An external resistor with resistance R is connected to a battery that has emf ε and internal resistance r . Let P be the electrical power output of the source. By conservation of energy, P is equal to the power consumed by R . What is the value of P in the limit that R is (a) very small; (b) very large? (c) Show that the power output of the battery is a maximum when R = r . What is this maximum P in terms of ε and r ? (d) A battery has ε = 64.0 V and r = 4.00 Ω. What is the power output of this battery when it is connected to a resistor R , for R = 2.00 Ω, R = 4.00 Ω, and R = 6.00 Ω? Are your results consistent with the general result that you derived in part (b)?
An external resistor with resistance R is connected to a battery that has emf ε and internal resistance r . Let P be the electrical power output of the source. By conservation of energy, P is equal to the power consumed by R . What is the value of P in the limit that R is (a) very small; (b) very large? (c) Show that the power output of the battery is a maximum when R = r . What is this maximum P in terms of ε and r ? (d) A battery has ε = 64.0 V and r = 4.00 Ω. What is the power output of this battery when it is connected to a resistor R , for R = 2.00 Ω, R = 4.00 Ω, and R = 6.00 Ω? Are your results consistent with the general result that you derived in part (b)?
An external resistor with resistance R is connected to a battery that has emf ε and internal resistance r. Let P be the electrical power output of the source. By conservation of energy, P is equal to the power consumed by R. What is the value of P in the limit that R is (a) very small; (b) very large? (c) Show that the power output of the battery is a maximum when R = r. What is this maximum P in terms of ε and r? (d) A battery has ε = 64.0 V and r = 4.00 Ω. What is the power output of this battery when it is connected to a resistor R, for R = 2.00 Ω, R = 4.00 Ω, and R = 6.00 Ω? Are your results consistent with the general result that you derived in part (b)?
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.
What resistance, R, should be placed in series with the galvanometer, G, if it is to show a full deflection when the potential across the resistor is 6 V. The maximum current through the galvanometer is 250 mA and its internal resistance is 3 Ω.
(a) 24 Ω
(b) 23 Ω
(c) 3 Ω
(d) 5.25 Ω
(e) 21
In Figure, suppose the switch has been closed for a time interval sufficiently long (steady state) for the capacitor to become fully charged. R 1 = 11 kΩ, R 2 = 13 kΩ, R 3 = 3 kΩ, C = 11 × 10 −6 F, and an ideal battery has emf ε = 13 V. Find the steady state current in resistor R 1. (Your result must be in mA's and include 3 digit after the decimal point. Maximum of 5% of error is accepted in your answer.)
Chapter 25 Solutions
University Physics with Modern Physics (14th Edition)
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DC Series circuits explained - The basics working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=VV6tZ3Aqfuc;License: Standard YouTube License, CC-BY