Four resistances of 16 ohms each are connected in parallel. Four such combinations are connected in series. What is the total resistance?
Advertisement Remove all ads
Solution
When four resistors of 16 Ω each are connected in parallel, the effective resistance of the combination can be obtained as:
`1/R=1/R_1+1/R_2+1/R_3+1/R_4`
or `1/R=1/16+1/16+1/16+1/16`
or `1/R=4/16`
or `1/R=1/4`
or `R=4`Ω
The effective resistance of combination is 4 Î.
When four such combinations are connected in series, the effective resistance becomes:
R = R1 + R2+ R3 + R4
R = 4 Î + 4 Î + 4 Î + 4 Î = 16 Ω
Concept: Ohm’s Law
Is there an error in this question or solution?
Advertisement Remove all ads
APPEARS IN
Advertisement Remove all ads
Advertisement Remove all ads