adding ohms in parallel

bear with me please,I'm just learning this stuff at eighty How does 1ohm plus 1ohm in a parallel circuit = Thanks in expectation from roger9059@outlook,com

by smudger
October 27, 2020

Consider the analogy of a river. Assume that the river splits into two equal arms when an island is in the middle of the river. Same as if you fill a bucket of water with two hoses rather than just one, it will be twice as easy. Or half as difficult. So, the total resistance, the difficulty presented to the current, in your case, will be half of 1 ohm, since one river arm, or one hose, has a resistance of 1 ohm.

The mathematical formula giving the equivalent resistance is $$R_e = \frac {1}{ {\frac{1}{R_1}} + {\frac{1}{R_2}}}$$

which, for $$R_1 = 1 \Omega = R_2$$

returns, as expected, an equivalent resistance of one half ohm.

by vanderghast
October 27, 2020

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