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College Physics (Urone)
Found in: Page 775

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Short Answer

(a) What is the terminal voltage of a large 1.54 v carbon-zinc dry cell used in a physics lab to supply 2.00 a to a circuit, if the cell's internal resistance is 0.100Ω ? (b) How much electrical power does the cell produce? (c) What power goes to its load?

(a) Terminal voltage, 1.34 v.(b) Electric power produced is 3.08 w.(c) Power that goes to load is 2.68 w.

See the step by step solution

Step by Step Solution

Step 1: Terminal voltage

Carbon zinc dry cell is use as the power source for various proposes. The terminal voltage of carbon zinc dry cell is given by equation,


Here, emf is the output voltage of the battery, I is the current and R is the resistance.

Step 2: Calculation of the terminal voltage

Given EMF of the carbon zinc dry cell is E=1.54 V

Current, I=2A

Internal resistance, r=0.1 Ω


Terminal voltage,

V=E-Ir =1.54 V-2 A+0.1 Ω =1.34 V

Therefore, terminal voltage is, 1.34 V.

Step3: Calculation of the electric power produced


Electric power produced,

Electric power =V×I =(1.54 V)×2Ω =3.08 W

Therefore, electric power produce is, 3.08 W.

Step 2: Calculation of the electric power output


Electric power output,

Load Power=(1.34V)×2A =2.68 W

Therefore, electric power output is, 2.68 W.

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