Question
Capacitance (in $F$) of a spherical conductor with radius $1\, m$ is
✓
Answer
(a) $C = 4\pi { \in _0}R = \frac{1}{{9 \times {{10}^9}}} \times 1 = 1.1 \times {10^{ - 10}}F$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Two monochromatic (wavelength $= a/5$) and coherent sources of electromagnetic waves are placed on the $x$ -axis at the points $(2a, 0)$ and $(-a, 0)$. A detector moves in a circle of radius $R( > > 2a)$ whose centre is at the origin. The number of maximas detected during one circular revolution by the detector are
→Four identical capacitors are connected as shown in diagram. When a battery of $6 V$ is connected between $A$ and $B$, the charge stored is found to be $1.5\, \mu C$. The value of ${C_1}$ is........$\mu F$
→In the circuit shown below, the switch $S$ is connected to position $P$ for a long time so that the charge on the capacitor becomes $q _1 \mu C$. Then $S$ is switched to position $Q$. After a long time, the charge on the capacitor is $q _2 \mu C$.
→($1$) The magnitude of $q_1$ is
($2$) The magnitude of $q _2$ is
Give the answer of question ($1$) and ($2$)
A charged particle of mass $m = 2\ kg$ and charge $1μC$ is projected from a horizontal ground at an angle $\theta = 45^o$ with speed $10\ ms^{-1}$ . In space, a horizontal electric field towards the direction of projection $E = 2 \times 10^7\ NC^{-1}$ exists. The range of the projectile is......$m$
→Two particles are projected from the same point with the same speed $u$ such that they have the same range $R,$ but different maximum heights, $h_1$ and $h_2$. Which of the following is correct ?
→A carrier wave of amplitude $15\,V$ is modulated by a simusoidal base band signal of amplitude $3\,V$. The ratio of maximum amplitude to minimum amplitude in an amplitude modulated wave is :
→A particle of mass $m$ and charge $q$ is thrown from origin at $t = 0$ with velocity $2\hat{i}$ + $3\hat{j}$ + $4\hat{k}$ units in a region with uniform magnetic field $\vec B$ = $2\hat{i}$ units. After time $t =\frac{{\pi m}}{{qB}}$ , an electric field is switched on such that particle moves on a straight line with constant speed. $\vec E$ may be
→Which of the following does not give yellow precipitate with $NaOH + KI$
→A man is suffering from colour blindness for green colour. To remove this defect, he should use goggles of
$Assertion$ : The earth without atmosphere would be inhospitably cold.
$Reason$ : All heat would escape in the absence of atmosphere.
→$Reason$ : All heat would escape in the absence of atmosphere.