A battery has an emf E and an internal resistance r . When the battery is connec

Question

A battery has an emf E and an internal resistance r. When the battery is connected to a 20 ??resistor, the current through the battery is 0.65 A . When the battery is connected to 60 ?? resistor, the current is 0.50 A .

Item 16 Part A A battery has an emf & and an internal resistance T. When the battery is connected to a 20- resistor, the current through the battery is 0.65 A When the battery is connected to 60- resistor, the current is 0.50 A Find the battery's emf Express your answer using two significant figures 0 Submit My Answers Give Up Part B Find the battery's internal resistance. Express your answer using two significant figures. Submit My Answers Give Up

Explanation / Answer

Here ,

when the battery is connected to 20 Ohm

E = i(r + R )

E = 0.65 *(20 + r) ----(1)

when the battery is connected to 60 ohm

E = 0.50 *(60 + r ) -----(2)

now, from equation 1 and 2 ,

0.65 *(20 + r) = 0.50 *(60 + r )

solving for r

r = 113.33 Ohm

putting in 1

E = 86.7 V

the emf of the battery is 87 V

b) internal resistance is 110 Ohm

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