The following two problems concern the diagram that is attached. In the circuit shown, the batteries have negligible internal resistance. The currents through the 6.0 and 2.0 Ohm resistors are 5.00 and 3.00 A respectively and their directions are shown. The Emf of one battery is 15.0 V and the other is unknown.
a) Find the current passing through the resistor R, and the Emf, E, of the unknown battery.
b) The 6.0 Ohm resistor in the diagram above has been constructed from a certain length of a uniform nickel alloy wire having a radius of 5.00 x 10^-4 m. The resistivity of the wire is 1.50 x 10^-6 Ohms and its density is 8.10 x 10^3 Kg/m^3. Find the mass of the wire used to construct the resistor.
The Attempt at a Solution
I am having a very stressful time finding the right equation for both (a) and (b) and the correct way to go about it to solve. Your help is very appreciated!
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