Resistors in Parallel
A circuit contains four resistors in parallel: 2 Ω, 4Ω, 4Ω, and 8Ω. Determine the total resistance.
Expand Hint
For resistors connected in parallel, the voltage drop across each resistors is equivalent.
Hint 2
$$$R_{parallel}=\frac{1}{(1/R_1)+(1/R_2)+...+(1/R_n)}$$$
For resistors connected in parallel, the voltage drop across each resistors is equivalent. Therefore, the resistance of
$$n$$
resistors in parallel is:
$$$R_{parallel}=\frac{1}{(1/R_1)+(1/R_2)+...+(1/R_n)}$$$
$$$R_{parallel}=\frac{1}{(1/2)+(1/4)+(1/4)+(1/8)}$$$
$$$R_{parallel}=\frac{1}{(4/8)+(2/8)+(2/8)+(1/8)}$$$
$$$R_{parallel}=\frac{1}{(9/8)}=\frac{8}{9}\: \Omega$$$
8/9 Ω
Time Analysis
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