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The network of resistors shown extends off to infinity. The resistors on the

sides of the “ladder”, RS, are equal to each other,but different from the resistors in the center of the ladder,Rc

..............Rs..............................Rs.........................Rs

a------^^^^^------c---------^^^^^------------^^^^^------------etc.

............................>...............................>........................>

............................<...............................<........................<

............................>Rc............................>Rc.....................>Rc

............................<...............................<........................<

............................>...............................>........................>

b------^^^^^------d---------^^^^^------------^^^^^------------etc.

..............Rs................................Rs..........................Rs

1) find a general expression for the resistance RT between points a and b.

2) find a general expression for the potential difference between points c and d in

terms of the Rs , Rc , Rt , and the potential difference between points a and b, Vab .

Any Help would be very much appreciated. have been sitting her for many hours now just stuck!

Ps. Please ignore all the full stops, it was the only way to make the circuit look like it should. So they actually mean nothing.

Between the two 'ladder' sides there is a resistor Rc just in case its not 100% clear. thanks in advance

sides of the “ladder”, RS, are equal to each other,but different from the resistors in the center of the ladder,Rc

..............Rs..............................Rs.........................Rs

a------^^^^^------c---------^^^^^------------^^^^^------------etc.

............................>...............................>........................>

............................<...............................<........................<

............................>Rc............................>Rc.....................>Rc

............................<...............................<........................<

............................>...............................>........................>

b------^^^^^------d---------^^^^^------------^^^^^------------etc.

..............Rs................................Rs..........................Rs

1) find a general expression for the resistance RT between points a and b.

2) find a general expression for the potential difference between points c and d in

terms of the Rs , Rc , Rt , and the potential difference between points a and b, Vab .

Any Help would be very much appreciated. have been sitting her for many hours now just stuck!

Ps. Please ignore all the full stops, it was the only way to make the circuit look like it should. So they actually mean nothing.

Between the two 'ladder' sides there is a resistor Rc just in case its not 100% clear. thanks in advance

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