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If someone can explain how to solve this problem it would really help me. I will

ID: 2132927 • Letter: I

Question

If someone can explain how to solve this problem it would really help me. I will only rate you if you exaplin how to solve it thoroughly and explain the rules and formulas involved. Thanks in advance!

Consider the following figure. Find the equivalent resistance between points a and b in the figure. (R = 20.0 Ohm) Repeatedly apply, to one pair of resistors at a time, the rule for combining two resistors in parallel or two in series until you have reduced the entire combination of resistors into a single equivalent r. Ohm Calculate the current in each resistor if a potential difference of 32.0 V is applied between points a and b. From the value of the current from a to b find the potential difference across the 7.00-Ohm resistor and then find the current through the 7.00-Ohm resistor.A From the value of the current from a to b find the potential difference across the 20.0-Ohm resistor and then find the current through the 20.0-Ohm resistor.A

Explanation / Answer

a). 7 ohm and 20 ohm resistors are in parallel. Req = (7*20)/(7+20) = 5.19 ohm now all the three resistors (4 ohm, 9 ohm, 5.19 ohm) are in series. total resistance = 4+9+5.19 = 18.19 ohm b). total current = V/R = 32/18.19 = 1.76 A current through 4ohm = 1.76 A in parallel connection, current is divided in inverse ratio b/w the two resistors. current through 7ohm = 1.76*20/(20+7) = 1.3 A current through 20 ohm = 1.76*7/(20+7) = 0.46 A current through 9 ohm = 1.76 A

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