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The circuit of a carbon are lamp is show...

The circuit of a carbon are lamp is shown in the figure (to ignite the lamp the carbon electrodes are touched together, then they are slowly drawn apart). The voltage across the gap between the carbon rods as a function of the current can be given by the following formula : `V=A + B//I` , where `A` and `B` are constants.

If the voltage of the battery `V_0` can be considered constant what is the maximum resistance of the rheostat `R_max`, that should be connected in series to ignite the lamp. Data: `A=40V, B=20W, V_0 =100V`

Text Solution

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The correct Answer is:
`R_(max)=45 Omega`
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