m identical cells of emf E each and internal resistance r each are connected in series to an external resistance R ,deduce the expression for r in term of total current flowing in the circuit

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Solution

Dear Student,

$t o t a l e m f = m E t o t a l r e s i s \tan c e = m r + R I = \frac{m E}{m r + R} r = \frac{E}{I} - \frac{R}{m} R e g a r d s$

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m identical cells of emf E each and internal resistance r each are connected in series to an external resistance R ,deduce the expression for r in term of total current flowing in the circuit

Dear Student, total emf =mEtotal resistance =mr+RI=mEmr+Rr=EI-RmRegards

Dear Student,

$t o t a l e m f = m E t o t a l r e s i s \tan c e = m r + R I = \frac{m E}{m r + R} r = \frac{E}{I} - \frac{R}{m} R e g a r d s$