Question

n identical cells, each of emf e and internal resistance r, are joined in series to form a closed circuit. One cell A is joined with reversed polarity. The potential difference across each cell except A is? The potential difference across A is?

Answer 1

Answer on Question #54447-Physics-Electric Circuits

n identical cells, each of emf e and internal resistance r, are joined in series to form a closed circuit. One cell A is joined with reversed polarity.

a. The potential difference across each cell except A is?

b. The potential difference across A is?

Solution

a.

$$I = \frac {n e - 2 e}{N r} = \frac {(n - 2) e}{n r}$$ $$V = e - I r = e - \frac {(n - 2) e}{n r} r = e \left(1 - \frac {n - 2}{n}\right) = \frac {2 e}{n}.$$

b.

$$V = - e - I r = - e - \frac {(n - 2) e}{n r} r = - e \left(1 + \frac {n - 2}{n}\right) = - \frac {2 (n - 1) e}{n}.$$

https://www.AssignmentExpert.com