Internal Resistance, Terminal Voltage 4 3.0 V battery has an internal resistance

Question

Internal Resistance, Terminal Voltage 4 3.0 V battery has an internal resistance r. The measured voltage (emt of the battery) is 3.0 V. When connected to a resistor R the terminal voltage is 2.9 V and the current is 0.16 A. What is the value of the extemal resistor R? Submit Answer Tries 0/ What is the intemal resistance r of the battery? Submit Anwer Tries 0f6 What is the energy dissipated in the battery in 1.3 min? Submit Anwer Tries 06 when a second identical battery is added in series and the external resistor is R = 14 what is the resulting current? Sitmit Answe Tries 06

Explanation / Answer

V = IR => R = V/I

R = 2.9/0.16 = 18.13 Ohm

Hence, R = 18.13 Ohm

We know tat,

V = emf - Ir

2.9 = 3 - 0.16 r => r = 0.625 Ohm

Hence, r = 0.625 Ohm

energy dissipated is:

P = I^2 r

P = 0.16^2 x 0.625 = 0.016 W

P = E/T => E = PT

E = 0.016 x 78 s = 1.25 J

Hence, E = 1.25 J

R = 14 Ohm ; r = 2 x 0.625 = 1.25 r

Req = 14 + 1.25 = 15.25 Ohm

I = V/R = 2 x 2.9/15.25 = 0.38 A

Hence, I = 0.38 A

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