Consider the following figure. (a) Find the current in each resistor of the figu

Question

Consider the following figure. (a) Find the current in each resistor of the figure above by using the rules for resistors in series and parallel. 7.5 ohm _______ A 21.0 ohm ______ A 24 ohm _______ A (b) Write three independent equations for the three currents using Kirchhoffs laws: one with the node rule; a second using the loop rule through the battery, the 7.5-ohm resistor, and the 24.0-ohm resistor; and the third using the loop rule through the 21.0-ohm and 24.0-ohm resistors. Solve to check the answers found in part (a). (Submit a file with a maximum size of 1 MB.)

Explanation / Answer

(a) Equivalent capacitance=7.5+(21*24/(21+24))=18.7 ohm

we got

current in 7.5 =18/18.7=0.96 A

current in 21 ohm=24/45 *0.96=0.51 A

current in 24 ohm=21/45 *0.96=0.45 A

(b) Kirchoff law equation are

18=I2*R2+24*I(24)

18=I2*R2 + 21*I1

I2=I(24) +I1

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