Question

Three resistances of 4ohm ,5ohm and 20ohm are connected in parallel. Their combined
resistance is
a) 2Ω
b) 4Ω
c) 5Ω
d) 20Ω​

Answer 1

Answer:

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Explanation:Resistance  = 4 ohms

Resistance  = 5 ohms

Resistance  = 20 ohms

All the resistors are applied in parallel. Hence, we will use the parallel formula to find the equivalent resistance.

1/req=1/r1+1/r2+1/r3

1/req=1/4+1/5+1/20

req=20/4+5+1

req=20/10

req=2 ohm

Hence, the equivalent resistance is 2 ohms

Answer 2

Answer:

Resistor in parallel

$\frac{1}{R_t}=\frac{1}{R1} +\frac{1}{R2} +\frac{1}{R3} \\\frac{1}{R_t}=\frac{1}{4} +\frac{1}{5} +\frac{1}{20}\\ \frac{1}{R_t}=0.25+0.2+0.05 = 0.5\\R_t = 2$

Total resistance of the connection is '2 ohms'. Option 'a' is correct

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