Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

voltage. The current through each resistor is given by ohm \'s law. Resistors co

ID: 2157279 • Letter: V

Question

voltage. The current through each resistor is given by ohm 's law. Resistors connected in parallel can be replaced by an equivalent resistor given by the following equation. 1 / Req = 1 / R1 + 1 / R2 + 1 / R3 + . . . Current I leaving the battery must go through one of the available resistors. I = I1 + I2 + . . . Find the equivalent resistance, the current supplied by the battery and the current through each resistor when the specified resistors are connected across a 8 V battery. Part (a) uses two resistors with resistance values that can be set with the animation sliders, and you can use the animation to verify your calculation. In Part (b), three resistors are specified. Two resistors are connected in parallel across a 8 V battery, as illustrated above. Let R1 = 9 and R2 = 3 . Two resistors are connected in parallel across a 8 V battery, as illustrated above. Let R1 = 9 and R2 = 3 . Current supplied by the battery: I = Current through R1: I1 = Current through R2: I2 = Add a third parallel resistor to the circuit (you cannot do this with the animation - just calculate the result). Let R1 = 9 , R2 = 3 , and R3 = 3 , and R3 = 3 . Current supplied by the battery: I = Current through R1: I1 = Current through R2: I2 = Current through R2: I2 =

Explanation / Answer

1. Req=2.25ohm 8*12/27=3.56amp I1=0.25*3.56amp=0.89amp I2=0.75*3.56amp=2.67amp 2. Req=1.2857amp I1=0.18367amp I2=0.55amp I3=0.55amp