SATHEE: Electrostatics 5 Question 8

Electrostatics 5 Question 8

9. In the circuit shown, find $C$ if the effective capacitance of the whole circuit is to be $0.5 μ F$ . All values in the circuit are in $μ F$ .

(Main 2019, 12 Jan II)

(a) $\frac{6}{5} μ F$

(b) $4 μ F$

(d) $\frac{7}{11} μ F$

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Answer:

Correct Answer: 9. (d)

Solution:

Key Idea Two capacitors $C_{1}$ and $C_{2}$ , if connected in series, then their equivalent capacitance is

If they are connected in parallel, then their equivalent capacitance is, $C_{eq} = C_{1} + C_{2}$ .

We simplify given circuit as

$\begin{array}{ll} So, & C_{A B} = \frac{C \times 7 / 3}{C + 7 / 3} = \frac{1}{2} (g i v e n) \\ \Rightarrow & \frac{7 C}{3} = \frac{C}{2} + \frac{7}{6} \\ \Rightarrow & \frac{14 - 3}{6} C = \frac{7}{6} \Rightarrow C = \frac{7}{11} μ F \end{array}$

Electrostatics 5 Question 8

9. In the circuit shown, find $C$ if the effective capacitance of the whole circuit is to be $0.5 μ F$ . All values in the circuit are in $μ F$ .

Answer:

Solution:

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Electrostatics 5 Question 8

9. In the circuit shown, find C if the effective capacitance of the whole circuit is to be 0.5μF. All values in the circuit are in μF.

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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9. In the circuit shown, find $C$ if the effective capacitance of the whole circuit is to be $0.5 μ F$ . All values in the circuit are in $μ F$ .