(a) The equivalent resistance of three parallel resistors is (R₁R₂R₃)/(R₁R₂ + R₁R₃ + R₂R₃).
(b) The total circuit current is 12/R.eq.
(c) The voltage drop across and current in each resistor is IR₁, IR₂ and IR₃.
Equivalent resistance of three parallel resistors
The equivalent resistance of three parallel resistors is calculated as follows;
- Let the first resistor = R₁
- Let the second resistor = R₂
- Let the third resistor = R₃
[tex]\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_2}\\\\R_{eq} = \frac{R_1R_2R_3}{R_1R_2 + R_2R_3 + R_1R_3}[/tex]
Total Circuit Current
The total circuit current is calculated as follows;
V = IR
[tex]I= \frac{V}{R_{eq}} = \frac{12 \ V}{R_{eq}}[/tex]
Voltage drop in each resistor
Voltage drop in resistor 1 = IR₁
Voltage drop in resistor 2 = IR₂
Voltage drop in resistor 3 = IR₃
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