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Suppose there is a circuit consisting of only resistances and batteries and we have to double all voltages and all resistances. Show that currents are unaltered.
Suppose there is a circuit consisting of only resistances and batteries and we have to double all voltages and all resistances. Show that currents are unaltered.
CBSE | Class 12 | Current Electricity | Lakhmir Singh | NCERT | NCERT Exemplar | Physics
Suppose there is a circuit consisting of only resistances and batteries and we have to double all voltages and all resistances. Show that currents are unaltered.

Reff is the equivalent internal resistance of the battery

Veff is the equivalent voltage of the battery

Using Ohm’s law,

I = Veff/(Reff + R)

When the resistance and effective voltage are increased by n-times,

Veff = nVeff

Reff = n Reff

Rnew = nR

Then current is given as

I’ = bVeff/nReff + nR = Veff/Reff + R = I

i

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