Question

please answer the voltage drops
Vab, Vbc , Vcd​

Answer 1

Answer:

OPTION (A) IS CORRECT....

• IN SERIES COMBINATION VOLTAGE WILL BE IN RESISTANCE AND CURRENT RATIO.
• IN PARALLEL COMBINATION VOLTAGE WILL BE SAME.

Answer 2

Concept:

When the Resistances are present in the Series, the resultant resistance is calculated by the algebraic sum of the individual resistances and when the Resistances are present in the parallel, the reciprocal of resultant resistance is calculated by the sum of the reciprocal of the individual resistances.

Given:

A network circuit is given.

Find:

The equivalent resistance of the network and the voltage drops Vab, Vbc, and Vcd​.

Solution:

The resistance between A and B is,

1/R₁ = 1/4+1/4 = 2/4

R₁ = 2

Similarly, the resistance between C and D is,

1/R₂ = 1/12+1/6 = 3/12

R₂ = 4

Total Equivalent Resistance, R' = R₁ + R₂ + R₃= 2 + 1 +4 = 7Ω

Total Resistance, R = R'+r = 7+1= 8Ω (Due to battery)

I = V/R = 16/8 = 2 A

As between A and B same current is flowing,

V = IR₁ = 2×2 = 4V

Similarly, between B and C same current is flowing,

V = IR₂  = 2×1 = 2V

Similarly, between C and D same current is flowing,

V = IR₃  = 2×4 = 8V

Hence, the Equivalent Resistance is 7Ω, and the voltage drops Vab, Vbc, and Vcd​ are 4V, 2V, and 8V respectively. Hence, the correct option is (a) 7 ohms, 4V, 2V, and 8V.

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