In the animation, the two resistors are connected directly to the battery, so th

Question

In the animation, the two resistors are connected directly to the battery, so they both share a portion of the battery voltage. Delta V = Delta V1 + Delta V2 + Delta V3 + . . . (1) Resistors connected in series may be replaced by an equivalent resistor given by the following equation. Req = R1 + R2 + R3 + . . . (2) Circuit elements connected in series always have the same current. I1 = I2 = I3 = . . . (3) Display in a New Window Find the equivalent resistance, current, and voltage across each resistor when the specified resistors are connected across a 18 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 series across a 18 V battery, as illustrated above. Let R1 = 7 and R2 = 6 . Req = I = Delta V1 = Delta V2 = Add a third series resistor to the circuit (you cannot do this with the animation - just calculate the result). Let R1 = 7 , R2 = 6 , and R3 = 4 . Req = I = Delta V1 = Delta V2 = Delta v3 =

Explanation / Answer

a) R1 = 7, R2 = 6

Requi. = R1 + R2 = 13

I = 18/13 = 1.384615 A

V1 = R1*I = 9.692308 V

V2 = R2*I = 8.307692 V

b) R1 = 7, R2 = 6, R3 = 4

Requi. = R1 + R2 +R3 = 17

I = 18/17 = 1.058824 A

V1 = R1*I = 7.411765 V

V2 = R2*I = 6.352941 V

V3 = R3*I = 4.235294 V

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