A circuit consists of a battery connected to three resistors (65 O, 30O, and 180

Question

A circuit consists of a battery connected to three resistors (65 O, 30O, and 180O) in parallel. The total current through the resistors is 1.9A. A. Find the emf of the battery B. Find the current through 65 - O resistor.
C. Find the current through 30 - O resistor. D. Find the current through 180 - O resistor.
A circuit consists of a battery connected to three resistors (65 O, 30O, and 180O) in parallel. The total current through the resistors is 1.9A. A. Find the emf of the battery B. Find the current through 65 - O resistor.
C. Find the current through 30 - O resistor. D. Find the current through 180 - O resistor.

Explanation / Answer

Resistors connected in parallel R_1 = 65 ohms , R_2 = 30 ohms R_3 = 180 ohms Total current flow through the resistors is I   = 1.9 A R'   = 1/ R_1 + 1/R_2         = 20.5 ohms R_eq   = 1/ R' + 1/ R_3             = 1/ 20.5 + 1/ 180           = 18.4 ohms a ) emf of the baterry e = I R                                        = 1.9 A * 18.4                                        = 34.9 V b ) i = V/ R          = 34.9 / 65          = 0.53 A c ) i = V / R           = 34.9 /30           = 1.16 A d ) i = V / R           = 34.9 / 180           = 0.19A

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