# Two resistors connected in series have an equivalent resistanceof 690 Ω. When they are connected in parallel, their equivalent resistance is 150 Ω. Find the resistance of each resistor.

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Two resistors connected in series have an equivalent resistance
of 690 Ω. When they are connected in parallel, their equivalent resistance is 150 Ω. Find the resistance of each resistor.

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Step 1

Given:

Step 2

Equivalent resistance for series combination can be calculated as help_outlineImage TranscriptioncloseR, R + R, 690 = R, + R, R = 690 – R,..(1) fullscreen
Step 3

Equivalent resistance for parallel co... help_outlineImage Transcriptionclose1 1 1 R, R R, R, + R RR, 150 R, (690 – R, ) = R, + 690 – R, 150 R, (690 – R, ) = 690 ×150 %3D 690R, – R = 103500 R - 690R, +103500 = 0 690+ v6902 – 4×103500 R, 690 ± 249.20 R, R, = 469.6,220.4 other values is for R, R = 220.4N R, = 469.62 - | fullscreen

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