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Three Resistors in Parallel Three resistors are connected in parallel as shon in

ID: 1732097 • Letter: T

Question

Three Resistors in Parallel Three resistors are connected in parallel as shon in figure (a). A potential difference of 17.0 V is maintained between points and b. 3.00 ? 6.00 ? 9.001 ??? 3.00 ?| 6.001 9,00 Three resistors connected in parallel, The voltage across each resistor is 17.0 V battery. ts it equivalent to the circuit in (a)? ) Calculate the equivalent resistance of the circuit. SOLUTION Conceptualize Figure (a) shows that wo are dealing witha simpla paralcombination of threa rasistors. Notice that the current I splits into threa currents I and I in the throe resistors. egorize This problem can be solved w h rules developed in this section so we catego ze it as equivalent resistance su s ton ? problem. Because he three res s ors are connec ed in parallel, we can use he rule or resistorsin parallel to evaluate the Analyze Use the equation for resistors in parallel to find Req (in ?): (b) Find the current (in A) in each resistor. SOLUTION The potential difference across each resistor is 17.0 V. Apply the relationship ??-IR to find the currents:

Explanation / Answer

Exercise

Current through each resistor i = I/3 = 1.80/3 = 0.6 A

Thus, power P = Vi = 18*0.6

= 10.8 W (answer)

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