WBJEE · Physics · Current Electricity
Consider a circuit where a cell of emf \(\mathrm{E}_0\) and internal resistance \(r\) is connected across the terminal \(A\) and \(B\) as shown in figure. The value of \(R\) for which the power generated in the circuit is maximum, is given by
- A R = r
- B R = 2r
- C R = 3r
- D \(\quad R=\frac{r}{3}\)
Answer & Solution
Correct Answer
(C) R = 3r
Step-by-step Solution
Detailed explanation
Hint: \(R_{\text {ext }}=r\) \[ \begin{aligned} & \frac{R}{3}=r \\ & R=3 r \end{aligned} \]
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
- Given : The percentage error in the measurements of \(\mathrm{A}, \mathrm{B}, \mathrm{C}\) and \(\mathrm{D}\) are respectively, \(4 \%, 2 \%, 3 \%\) and \(1 \%\). The relative error in \(Z=\frac{A^4 B^{\frac{1}{3}}}{C D^{\frac{3}{2}}}\) isWBJEE 2022 Easy
- The change in the gravitational potential energy when a body of mass \(m\) is raised to a height \(n \mathrm{R}\) above the surface of the Earth is (here \(R\) is the radius of the Earth)WBJEE 2010 Easy
- A positive charge \(Q\) is situated at the centre of a cube. The electric flux through any face of the cube is (in SI units)WBJEE 2017 Easy
- Two elements \(A\) and \(B\) with atomic numbers \(Z_{A}\) and \(Z_{B}\) are used to produce characteristic X-rays with frequencies \(v_{A}\) and \(v_{B}\) respectively. If \(Z_{A}: Z_{B}=1: 2,\) then \(v_{A}: v_{B}\) will beWBJEE 2012 Medium
- A very small circular loop of radius \(a\) is initially (at \(t=0\) ) coplanar and concentric with a much larger fixed circular loop of radius b. A constant current \(I\) flows in the larger loop. The smaller loop is rotated with a constant angular speed \(\omega\) about the common diameter. The emf induced in the smaller loop as a function of time \(t\) isWBJEE 2014 Easy
- A stone of relative density \(\mathrm{K}\) is released from rest on the surface of a lake. If viscous effects are ignored, the stone sinks in water with an acceleration ofWBJEE 2011 Easy
More PYQs from WBJEE
- Let \(f(x)=\left|\begin{array}{ccc}\cos x & x & 1 \\ 2 \sin x & x^3 & 2 x \\ \tan x & x & 1\end{array}\right|\), then \(\lim _{x \rightarrow 0} \frac{f(x)}{x^2}=\)WBJEE 2024 Medium
- The current through a coil of self inductance \(\mathrm{L}=2 m \mathrm{H}\) is given by \(\mathrm{I}=t^2 e^{-t}\) at time \(t\). How long it will take to make the e \(\mathrm{m} . f\) zero?WBJEE 2010 Easy
- A small spherical body of radius \(r\) and density p moves with the terminal velocity \(v\) in a fluid of coefficient of viscosity \(\eta\) and density \(\bar{\sigma}\). What will be the net force on the body?WBJEE 2019 Easy
- For a chemical reaction, half-life period \(\left(\mathrm{t}_{\frac{1}{2}}\right)\) is 10 minutes. How much reactant will be left after 20 minutes if one starts with 100 moles of reactant and the order of the reaction be (i) zero, (ii) one and (iii) two?WBJEE 2025 Medium
- Identify the correct statement(s):WBJEE 2019 Hard
- A planet moves around the sun in an elliptical orbit with the sun at one of its foci. The physical quantity associated with the motion of the planet that remains constant with time isWBJEE 2013 Medium