Wheatstone Bridge - Max power delivered

cupid.callin · Mar 15, 2011

Homework Statement

Multiple-choice physics problem: a battery of internal resistance 4 ohm connected to a network of resistances R, 6R, 4R and R, with options (A) 4/9, (B) 2, (C) 8/3, (D) 18 for the value of R giving maximum power transfer.

The Attempt at a Solution

I was able to find the net resistance as its a balanced wheat stone bridge ...

But how to find R for max power delivered?

Delphi51 · Mar 15, 2011

You need an expression for the power delivered to the load (not counting power lost in the 4 ohm resistance of the battery). I suggest you begin by calling the resistance of the network Z. Then the current through Z is I = V/(Z+4). The power delivered to it is P = I²/Z.
That function of Z will vary with Z and have a maximum for some specific value of Z. You could use the derivative method to find that value.

Wheatstone Bridge - Max power delivered

Homework Statement

The Attempt at a Solution

Discussion

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