KCET · Physics · Motion In One Dimension
Two capacitors of \( 10 \mathrm{pF} \) and \( 20 \mathrm{pF} \) are connected to \( 200 \mathrm{~V} \) and \( 100 \mathrm{~V} \) sources respectively. If
they are connected by the wire, what is the common potential of the capacitors ?
- A \( 133.3 \) volt
- B \( 150 \) volt
- C \( 300 \) volt
- D \( 400 \) volt
Answer & Solution
Correct Answer
(A) \( 133.3 \) volt
Step-by-step Solution
Detailed explanation
Common potential, \( V=\frac{C V_{1}+C_{2} V_{2}}{C_{1}+C_{2}} \)
\( =\frac{10 \times 10^{-12} \times 200+20 \times 10^{-11} \times 100}{10 \times 10^{-12}+20 \times 10^{-12}} \)
\( \therefore V=\frac{10^{-12} \times 200(1+1)}{10^{-12} \times 10(1+2)}=\frac{200 \times 2}{3}=133.33 \mathrm{~V} \)
Thus, common potential of the capacitors is \( 133.33 \mathrm{~V} \).
\( =\frac{10 \times 10^{-12} \times 200+20 \times 10^{-11} \times 100}{10 \times 10^{-12}+20 \times 10^{-12}} \)
\( \therefore V=\frac{10^{-12} \times 200(1+1)}{10^{-12} \times 10(1+2)}=\frac{200 \times 2}{3}=133.33 \mathrm{~V} \)
Thus, common potential of the capacitors is \( 133.33 \mathrm{~V} \).
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
- A coin placed on a rotating turn table just slips if it is placed at a distance of \(4 \mathrm{~cm}\) from the centre. If the angular velocity of the turn table is doubled it will just slip at a distance ofKCET 2021 Easy
- A wheel with \( 10 \) spokes each of length ' \( L \) ' \( m \) is rotated with a uniform angular velocity ' \( \omega \) ' in a
plane normal to the magnetic field 'B'. The emf induced between the axle and the rim of the
wheel.KCET 2016 Easy - The deflection in a moving coil galvanometer is reduced to half when it is shunted with a \(40 \Omega\) coil. The resistance of the galvanometer isKCET 2011 Easy
- A mass M is hung with a light inextensible string as shown in figure. Find the tension of the horizontal string.
KCET 2026 Medium - In the situation shown in the diagram, magnitude, if \(q<<|Q|\) and \(r \gg a\). The net force on the free charge \(-q\) and net torque on it about \(O\) at the instant shown are respectively. ( \(p=2 a Q\) is the dipole moment)
KCET 2023 Medium - With what velocity should an observer approach a stationary sound source, so that the apparent frequency of sound should appear double the actual frequency? ( is velocity of sound).KCET 2008 Medium
More PYQs from KCET
- The equation of the normal to the hyperbola \(\frac{x^{2}}{16}-
\frac{y^{2}}{9}=1\) at \((-4,0)\) isKCET 2008 Medium - The germ pores in the pollen grain are the regionsKCET 2014 Medium
- If wavelength of photon is \(2.2 \times 10^{-11} \mathrm{~m}\) and \(h=6.6 \times 10^{-34} \mathrm{~J} \mathrm{~s}\), then momentum of photonKCET 2022 Medium
- The I-V graphs for two different electrical appliances \( \mathrm{P} \) and \( \mathrm{Q} \) are shown in diagram . If \( R_{p} \) and
\( R_{Q} \) be the resistances of the devices, then
KCET 2018 Easy - Radii of curvature of a converging lens are in the ratio \(1: 2\). Its focal length is \(6 \mathrm{~cm}\) and refractive index is \(1.5\). Then its radii of curvature are ......... respectively.KCET 2013 Easy
- For the given digital circuit, write the truth table and identify the logic gate it represents :
KCET 2014 Medium