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In series combination, Current(I) remains same among all the resistors, but voltage(V) changes. So:

V(Equivalent) = I(Equivalent) * R(Equivalent)

R(Equivalent) = V(Equivalent)/ I(Equivalent)

R(Equivalent) = IR1+ IR2+...+IRn / I

R(Equivalent) = I(R1+R2+...+Rn)/ I

R(Equivalent) = R1+R2+...+Rn

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ANSHUL SINGH

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4y ago

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