JEE Main
- Exam
- JEE Main
- Subject
- Physics
- Chapter
- Capacitance
JEE Main · Physics · Capacitance
A fully charged capacitor has a capacitance C . It is discharged...
A fully charged capacitor has a capacitance . It is discharged through a small coil of resistance wire, embedded in a block of specific heat and mass under thermally isolated conditions. If the temperature of the block is raised by , the potential difference across the capacitor initially is
Options
- A\left(\frac{2 m s \Delta T}{C}\right)^2
- B\left(\frac{2 m s \Delta T}{C}\right)^{1 / 2}
- C
- D
Correct answer
B. \left(\frac{2 m s \Delta T}{C}\right)^{1 / 2}
Step-by-step solution
Let be the potential across the capacitor when it is fully charged, then, energy stored in the capacitor will be
(where capacitance of capacitor)
When the capacitor is fully discharged, loss of energy is in the form of heat As the system is thermally isolated so,
Here,
or