Home/Class 12/Physics/

Question and Answer

Figure shows a capacitor made of two circular plates each of radius \(12\;\text{cm}\) , and separated by \(5.0\;\text{cm.}\)  The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to \(0.15\;A\) .
 Calculate the capacitance and the rate of charge of potential difference between the plates.

loading
settings
Speed
00:00
04:04
fullscreen
Figure shows a capacitor made of two circular plates each of radius \(12\;\text{cm}\) , and separated by \(5.0\;\text{cm.}\)  The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to \(0.15\;A\) .
 Calculate the capacitance and the rate of charge of potential difference between the plates.
Question: Figure shows a capacitor made of two circular plates each of radius  12;text{cm} , and separated by  5.0;text{cm.}  The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to  0.15;A . Calculate the capacitance and the rate of charge of potential difference between the plates.

Answer

Distance between the capacitor plates, \(d=5\;\text{cm}=0.05m\)  
Radius of circular plate, \(r=12\;\text{cm}=0.12\;m\)
Constant charging current, \(I=0.15A\)
Permittivity of free space,   \(\epsilon _o=8.85\times 10^{-12}C^2N^{-1}m^{-2}\)
Capacitance between the plates is given by
\(C=\dfrac{\mathit{\epsilon_o A}} d\)
Where,
\(A=\)  Area of each circular plate \(=\pi r^2.\)
\(C=\dfrac{\epsilon _o\pi r^2} d\)
= \(\dfrac{8.85\times 10^{-12}\times \pi \times (0.12)^2}{0.05}\)
\(=8.0032\times 10^{-12}F=80.032\mathit{pF}\)
Charge on each plate, \(q=\mathit{CV}\)
Where,
\(V\)  Potential difference across the plates
Differentiating it with respect to time \((t)\)  gives:
\(\dfrac{\mathit{dq}}{\mathit{dt}}=C\dfrac{\mathit{dV}}{\mathit{dt}}\)
But, \(\dfrac{\mathit{dq}}{\mathit{dt}}\)  = current \((I)\)
  \(\dfrac{\mathit{dV}}{\mathit{dt}}\)  = \(\dfrac I C\)
\(\dfrac{0.15}{80.032\times 10^{-12}}\) = \(1.87 × 10^9\;V / s\)
Therefore, the change in potential difference between the plates is \(1.87\times 10^9\ V/\mathit{s.}\)
To Keep Reading This Answer, Download the App
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
To Keep Reading This Answer, Download the App
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
Correct2
Incorrect0
Watch More Related Solutions
For a diatomic ideal gas in a closed system, which of the following plots does not correctly describe the relation between various thermodynamic quantities?( )
A.
B.
C.
D.
A\(20.0cm^{3}\) mixture of CO, \(CH_{4}\) and \(He\) gases is exploded by an electric discharge at room temperature with excess of oxygen. The volume contraction is found to be \(13.0cm^{3}\) A further contraction of \(14.0cm^{3}\) occurs when the residual gas is treated with \(KOH\) solution. Find out the composition of the gaseous mixture in terms of volume percentage.
If \( \overrightarrow{a}\), \( \overrightarrow{b}\), \( \overrightarrow{c}\) are three non-coplanar vectors and \( \overrightarrow{p}\), \( \overrightarrow{q}\), \( \overrightarrow{r}\) are their reciprocal vectors, then \( \left(l\overrightarrow{a} + m\overrightarrow{b} + n\overrightarrow{c}\right).\left(l\overrightarrow{p}+m\overrightarrow{q}+n\overrightarrow{r}\right)\)is equal to
( )
A. \( {l}^{2} + {m}^{2} + {n}^{2}\)
B. \( lm + mn + nl\)
C. \( 0\)
D. None of these
A capacitance C, a resistance R and an emf E are connected in series at t = 0. What is the maximum value of the potential difference across the resistor?
Illustrate the following reaction giving suitable example in this case: Hoffmann bromamide degradation reaction.
The bond between two identical non-metal atoms has a pair of electrons ( )
A. unequally shared between the two
B. transferred fully from one atom to another
C. with identical spins
D. equally shared between them
Dilution processes of different aqueous solutions, with water, are given in List-\(I\). The effects of dilution of the solution on \([H^{+}]\) are given in List-\(II\).
Degree of dissociation \((\alpha )\) of weak acid and weak base is \(<<1;\) degree of hydrolysis of \(salt<<1,[H^{+}]\) represents the concentration of \(H^{+}\) ions
Match each process given in List-I with one or more effect(s) in List-II. The correct option is ( )
A. \(P\to 4;Q\to 2;R\to 3;S\to 1\)
B. \(P\to 4;Q\to 3;R\to 2;S\to 3\)
C. \(P\to 1;Q\to 4;R\to 5;S\to 3\)
D. \(P\to 1;Q\to 5;R\to 4;S\to 1\)
Figure shows a capacitor made of two circular plates each of radius  \(12\mathit{cm}\) and separated by  \(5.0\mathit{cm.}\)  The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to  \(0.15A\) . Obtain the displacement current across the plates.

Method by which aniline cannot be prepared is :
(a) reduction of nitrobenzene with \( {H}_{2}/Pd\) in ethanol.
(b) potassium salt of phthalimide treated with chlorobenzene followed by hydrolysis with aqueous \( NaOH\) solution.
(c) hydrolysis of phenylisocyanide with acidic solution.
(d) degradation of benzamide with bromine in alkaline aolution.
A constant force acting on a body of mass \(3.0\;kg\) changes its speed from \(2.0\;ms^{-1}\) to \(3.5\;ms^{-1}\) in \( 25\;s\). The direction of the motion of the body remains unchanged.What is the magnitude and direction of the force ?

Load More