Four resistors are connected in parallel. The values of the resistors are 1Ω, 3Ω, 4Ω, and 5Ω.
a. Using only a pencil and a piece of paper (no calculator), determine the current through each resistor if the current through the 5-Ω resistor is 6 A.
b. Again, without a calculator, solve for the total current applied to the parallel combination.
c. Use a calculator to determine the total parallel resistance of the four resistors. Use the current divider rule and the total current obtained in part (b) to calculate the current through each resistor.