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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Question

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.

Expert Solution

Step 1

Given:

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

The internal resistance $r = 4 Ω$ .

The resistor $R_{0} = 45 Ω$ .

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