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Two batteries with emf ℰ = 10 V and internal resistance r = 4 Ω and a resistor with R0 = 45 Ω are connected in series as shown in the figure. a. Express the total resistance, R, in terms of r and R0. b. Express the current, I, in terms of the emf, ℰ, and the total resistance, R. c. Express the voltage, ΔV, across the resister in terms of I and R0. d. Calculate the value of ΔV in volts.

Two batteries with emf ℰ = 10 V and internal resistance r = 4 Ω and a resistor with R0 = 45 Ω are connected in series as shown in the figure. a. Express the total resistance, R, in terms of r and R0. b. Express the current, I, in terms of the emf, ℰ, and the total resistance, R. c. Express the voltage, ΔV, across the resister in terms of I and R0. d. Calculate the value of ΔV in volts.

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Two batteries with emf ℰ = 10 V and internal resistance r = 4 Ω and a resistor with R0 = 45 Ω are connected in series as shown in the figure.

a. Express the total resistance, R, in terms of r and R0. 

b.  Express the current, I, in terms of the emf, ℰ, and the total resistance, R. 

c. Express the voltage, ΔV, across the resister in terms of I and R0. 

d. Calculate the value of ΔV in volts. 

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Expert Solution
Step 1

Given:

The emf of each of the battery ε=10 V.

The internal resistance r=4Ω.

The resistor R0=45Ω.

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