Question:
The capacitance of a metallic sphere is $ 1\,\mu F, $ then its radius is nearly
The capacitance of a metallic sphere is $ 1\,\mu F, $ then its radius is nearly
Updated On: Jul 29, 2022
- 1.11 m
- 10 m
- 9 km
- 1.11 cm
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
For a spherical capacitor of radius $R$, the capacitance is given by
$C=4 \pi \varepsilon_{0} R$
Given, $C=1 \,\mu F =1 \times 10^{-6} F$
$\Rightarrow R =\frac{C}{4 \pi \varepsilon_{0}} $
$=9 \times 10^{9} \times 1 \times 10^{-6} m $
$\Rightarrow R =9 \times 10^{3} m $
$=9 \,km$
Was this answer helpful?
0
0
Top Questions on Capacitors and Capacitance
- A parallel plate capacitor is charged by connecting it to a battery through a resistor. If I is the current in the circuit, then in the gap between the plates :
- NEET (UG) - 2024
- Physics
- Capacitors and Capacitance
- In the following circuit, the equivalent capacitance between terminal A and terminal B is :
- NEET (UG) - 2024
- Physics
- Capacitors and Capacitance
- The capacitance of a capacitor with charge q and a potential difference V depends on :
- NEET (UG) - 2024
- Physics
- Capacitors and Capacitance
- A 10 µF capacitor is connected to a 210 V, 50 Hz source as shown in figure. The peak current in the circuit is nearly (π = 3.14) :
:- NEET (UG) - 2024
- Physics
- Capacitors and Capacitance
- A capacitor of $10 \, \mu\text{F}$ capacitance whose plates are separated by $10 \, \text{mm}$ through air and each plate has area $4 \, \text{cm}^2$ is now filled equally with two dielectric media of $K_1 = 2$, $K_2 = 3$ respectively as shown in the figure. If new force between the plates is $8 \, \text{N}$, the supply voltage is ____ $\text{V}$.
- JEE Main - 2024
- Physics
- Capacitors and Capacitance
View More Questions
Questions Asked in Manipal exam
- Pressure inside two soap bubbles are 1.01 atm and 1.03 atm. Ratio between their volumes is
- Manipal - 2013
- Surface tension
- Which of the following is the pribnow box?
- Manipal - 2013
- Transcription
- Who has written the book Genera Plantarum?
- Manipal - 2013
- Nomenclature and taxonomy
- There is loss in weight when mixture of $ L{{i}_{2}}C{{O}_{3}} $ and $ N{{a}_{2}}C{{O}_{3}}.10{{H}_{2}}O $ is heated strongly. This loss is due to
- Manipal - 2013
- anomalous behaviour of lithium
- The main function of clitellum is
- Manipal - 2013
- earthworm
View More Questions
Concepts Used:
Capacitor
Capacitors commonly known as Condensers are passive components, similar to a resistor. In capacitors, charges are usually stored in the form of an "electrical field". Electrical and electronic circuits depend on the same which is made up of two parallel metal plates that are not connected to one another. The two plates are separated by a non-conducting insulating medium called dielectric.
Uses of Capacitors:
- DC blocking capacitors block the DC and allows only AC to certain parts of the circuit.
- These are main elements of filters.
- They possess the ability to couple a section of the circuit to another.
Types of Capacitors:
- Ceramic capacitors are created by covering two sides of their tiny ceramic disc with silver and stacking them together.
- Film Capacitors are commonly used capacitors that are made up of different sets of capacitors.
- In an electrolytic capacitor metallic anode coated with an oxidized layer used as a dielectric.
- A Paper capacitor is also known as a fixed capacitor in which paper is used as the dielectric material.
Read More: Types of Capacitors