Which will be brighter?

Identical lamps each of resistance 2 R 2R are connected in parallel to a battery and a resistance R R in three different ways A A , B B and C C as shown.

In which case the total brightness produced is maximum?

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1 solution

Steven Chase
Jan 30, 2017

Consider the general case of a resistive load connected to a voltage source with an internal resistance. The load power is maximized when the load resistance is equal to the source resistance. Since the resistance of a single lamp is twice the resistance of the source, two lamps in parallel will satisfy this condition.

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