JEE Mains · Physics · STD 12 - 2. Electric potential and capacitance
In the given figure the total charge stored in the combination of capacitors is \(100\,\mu C\). The value of ' \(x\) ' is \(............\).

- A \(5\)
- B \(10\)
- C \(15\)
- D \(20\)
Answer & Solution
Correct Answer
(A) \(5\)
Step-by-step Solution
Detailed explanation
Charge on \(C_1\) is \(Q_1=2 \times 10=20\,\mu C \dots(i)\) Charge on \(C _2\) is \(Q _2= x \times 10=10\,x \mu C \dots(ii)\) Charge on \(C _3\) is \(Q _3=3 \times 10=30\,\mu C \dots(iii)\) Total charge \(20+10 x +30=100\) \(\Rightarrow x =5\)
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 magnetic moment of a bar magnet is \(0.5 \mathrm{Am}^2\). It is suspended in a uniform magnetic field of \(8 \times 10^{-2} \mathrm{~T}\). The work done in rotating it from its most stable to most unstable position is _______.JEE Mains 2024 Hard
- An \(HCl\) molecule has rotational, translational and vibrational motions. If the \(rms\) velocity of \(HCl\) molecules in its gaseous phase is \(\bar v ,\,m\) is its mass and \(k_B\) is Boltzmann constant, then its temperature will beJEE Mains 2019 Medium
- Given below are two statements: one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\) Assertion \(A\): Steel is used in the construction of buildings and bridges. Reason \(R:\) Steel is more elastic and its elastic limit is high. In the light of above statements, choose the most appropriate answer from the options given belowJEE Mains 2023 Easy
- If \(X\) and \(Y\) are the inputs, the given circuit works as _______.
JEE Mains 2026 Easy - A particle of mass \(0.50 \mathrm{~kg}\) executes simple harmonic motion under force \(\mathrm{F}=-50\left(\mathrm{Nm}^{-1}\right) \mathrm{x}\). The time period of oscillation is \(\frac{x}{35} s\). The value of \(x\) is _______. (Given \(\pi=\frac{22}{7}\) )JEE Mains 2024 Hard
- The material filled between the plates of a parallel plate capacitor has resistivity \(200 \Omega \, {m}\). The value of capacitance of the capacitor is \(2\, {pF}\). If a potential difference of \(40 \,{V}\) is applied across the plates of the capacitor, then the value of leakage current flowing out of the capacitor is (given the value of relative permitivity of material is \(50\) )JEE Mains 2021 Hard
More PYQs from JEE Mains
- When an object is kept at a distance of \(30\, cm\) from a concave mirror, the image is formed at a distance of \(10\, cm\) from the mirror. If the object is moved with a speed of \(9\, cms ^{-1}\), the speed (in \(cms ^{-1}\) ) with which image moves at that instant is\(....m/s\)JEE Mains 2020 Medium
- If \(d_1\) is the shortest distance between the lines \(x+1=2 y=-12 z, x=y+2=6 z-6\) and \(d_2\) is the shortest distance between the lines \(\frac{x-1}{2}=\frac{y+8}{-7}=\frac{z-4}{5}, \frac{x-1}{2}=\frac{y-2}{1}=\frac{z-6}{-3}\), then the value of \(\frac{32 \sqrt{3} \mathrm{~d}_1}{\mathrm{~d}_2}\) is :JEE Mains 2024 Hard
- Let \(f(x)=x^{6}+2 x^{4}+x^{3}+2 x+3, x \in R\). Then the natural number \(\mathrm{n}\) for which \(\lim _{x \rightarrow 1} \frac{\mathrm{x}^{\mathrm{n}} \mathrm{f}(1)-\mathrm{f}(\mathrm{x})}{\mathrm{x}-1}=44\) is ...... .JEE Mains 2021 Hard
- Let \(f(x) = e^x -x\) and \(g(x) = x^2 -x\), \(\forall \in R\). Then the set of all \(x \in R\), where the function \(h(x) = (fog)\, (x)\) is increasing isJEE Mains 2019 Hard
- If \(0<\theta, \phi<\frac{\pi}{2}, x =\sum_{ n =0}^{\infty} \cos ^{2 n } \theta, y =\sum_{ n =0}^{\infty} \sin ^{2 n } \phi\) and \(z =\sum_{ n =0}^{\infty} \cos ^{2 n } \theta \cdot \sin ^{2 n } \phi\) thenJEE Mains 2021 Hard
- A plane electromagnetic wave travels in a medium of relative permeability \(1.61\) and relative permittivity \(6.44\). If magnitude of magnetic intensity is \(4.5 \times 10^{-2} \;Am ^{-1}\) at a point, what will be the approximate magnitude of electric field intensity at that point\(?\) (Given : permeability of free space \(\mu_{0}=4 \pi \times 10^{-7}\;NA ^{-2}\), speed of light in vacuum \(c =3 \times 10^{8} \;ms ^{-1}\) )JEE Mains 2022 Medium