This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements.
It is not possible to make a sphere of capacity $1$ farad using a conducting material.
It is possible for earth as its radius is $6.4 \times 10^6\,m$.
Statement 1 is true, Statement 2 is true, Statement 2 is the correct explanation of Statement 1.
Statement 1 is false, Statement 2 is true.
Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation of Statement 1.
Statement 1 is true, Statement 2 is false.
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The Correct Option isD
Solution and Explanation
Capacitance of sphere is given by :
$C = 4\pi \in_{0} r$
If, $C = 1F$ then radius of sphere needed :
$r = \frac{C}{4\pi \in _{0}} = \frac{1}{4\pi\times8.85\times 10^{-12}}$
or, $r = \frac{10^{12}}{4\pi\times 8.85} = 9\times 10^{9}\,m$$9\times10^{9}$ m is very large, it is not possible to obtain such a large sphere. Infact earth has radius $6.4 \times 10^{6}$ m only and capacitance of earth is $711\mu F.$
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Top Questions on electrostatic potential and capacitance
The potential of a point is defined as the work done per unit charge that results in bringing a charge from infinity to a certain point.
Some major things that we should know about electric potential:
They are denoted by V and are a scalar quantity.
It is measured in volts.
Capacitance
The ability of a capacitor of holding the energy in form of an electric charge is defined as capacitance. Similarly, we can also say that capacitance is the storing ability of capacitors, and the unit in which they are measured is “farads”.
The capacitor is in Series and in Parallel as defined below;
In Series
Both the Capacitors C1 and C2 can easily get connected in series. When the capacitors are connected in series then the total capacitance that is Ctotal is less than any one of the capacitor’s capacitance.
In Parallel
Both Capacitor C1 and C2 are connected in parallel. When the capacitors are connected parallelly then the total capacitance that is Ctotal is any one of the capacitor’s capacitance.
