enEnglishguગુજરાતી
GUJCET · Physics · Electrostatic Potential and Capacitance
How will you connect four capacitors, each of capacitance \(4 \mu F\) for having equivalent capacitance \(1.6 \mu F\) ?
- A Two in parallel and two in series
- B All four in series
- C All four in parallel
- D Three in parallel and one in series
Answer & Solution
Correct Answer
(A) Two in parallel and two in series
Step-by-step Solution
Detailed explanation
(A)
from figure,
\(\begin{array}{l}\frac{1}{C}=\frac{1}{C_1}+\frac{1}{C_2+C_3}+\frac{1}{C_4} \\ \frac{1}{C}=\frac{1}{4}+\frac{1}{4+4}+\frac{1}{4} \\ \frac{1}{C}=\frac{1}{4}+\frac{1}{8}+\frac{1}{4} \\ \frac{1}{C}=\frac{5}{8} \\ C=\frac{8}{5}=1.6 \mu F\end{array}\)
from figure,
\(\begin{array}{l}\frac{1}{C}=\frac{1}{C_1}+\frac{1}{C_2+C_3}+\frac{1}{C_4} \\ \frac{1}{C}=\frac{1}{4}+\frac{1}{4+4}+\frac{1}{4} \\ \frac{1}{C}=\frac{1}{4}+\frac{1}{8}+\frac{1}{4} \\ \frac{1}{C}=\frac{5}{8} \\ C=\frac{8}{5}=1.6 \mu F\end{array}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- The unit of polarizability of the molecule is ________.GUJCET 2018 Easy
- The distance of the closest approach of an alpha particle fired at a nucleus with Kinetic energy \(K\) is \(r_{0}\). The distance of the closest approach when the \(\alpha\) - particle is fired at the same nucleus with Kinetic energy 2 K will be _________ .GUJCET 2015 Easy
- Select the incorrect unit of self inductance.GUJCET 2016 Medium
- Which of the following statement is correct regarding stepdown transformer.GUJCET 2016 Medium
- The number density of free electrons in a copper conductor estimated \(8.5 \times 10^{28} m^{-3}\). How long does an electron take to drift from one end of a wire 6 m long to its other end ? The area of cross section of the wire is \(1.0 \times 10^{-6} m^2\) and it is carrying a current of 1.5 A .GUJCET 2022 Medium
- \(P, Q\) and \(R\) are long parallel straight wire in air, carrying currents \(20 A, 40 A\) and 60 A as shown in figure. What is the direction of the resultant force on Q ?
GUJCET 2016 Easy
More PYQs from GUJCET
- If \(\sin ^{-1} a=\alpha+\beta\) and \(\sin ^{-1} b=\alpha-\beta\) then, \(\sin ^2 \alpha+\cos ^2 \beta=\) ____________ .GUJCET 2022 Easy
- Maximum amount of a solid solute that can be dissolved in a specified amount of a given liquid solvent does not depend upon _____ .
(i) Temperature (ii) Nature of solute (iii) Pressure (iv) Nature of SolventGUJCET 2020 Hard - The solution of the differential equation \(2 x \frac{d y}{d x}-y=0, y(1)=2\) shows ____________ .GUJCET 2018 Easy
- Which of the following reactions convert Acetone into hydrocarbon having same number of carbon atoms ?GUJCET 2013 Hard
- IUPAC name of vinyl cyanide is __________.GUJCET 2013 Hard
- \(\tan ^{-1}\left[\frac{\sqrt{2}}{\sqrt{3}} \cos \left(5 \sin ^{-1} \frac{1}{\sqrt{2}}\right)\right]=\) ___________ .GUJCET 2025 Medium