Between the plates of a parallel plate condenser, a plate of thickness \[{{t}_{1}}\]and dielectric constant \[{{k}_{1}}\] is placed. In the rest of the space, there is another plate of thickness \[{{t}_{2}}\] and dielectric constant \[{{k}_{2}}\]. The potential difference across the condenser will be [MP PET 1993]

\[\frac{{{\varepsilon }_{0}}Q}{A}\left( \frac{{{t}_{1}}}{{{k}_{1}}}+\frac{{{t}_{2}}}{{{k}_{2}}} \right)\]

\[\frac{Q}{A{{\varepsilon }_{0}}}\left( \frac{{{t}_{1}}}{{{k}_{1}}}+\frac{{{t}_{2}}}{{{k}_{2}}} \right)\]

\[\frac{{{\varepsilon }_{0}}Q}{A}\left( \frac{{{t}_{1}}}{{{k}_{1}}}+\frac{{{t}_{2}}}{{{k}_{2}}} \right)\]

\[\frac{{{\varepsilon }_{0}}Q}{A}({{k}_{1}}{{t}_{1}}+{{k}_{2}}{{t}_{2}})\]

Between the plates of a parallel plate condenser, a plate of thickness

1.	Between the plates of a parallel plate condenser, a plate of thickness \[{{t}_{1}}\]and dielectric constant \[{{k}_{1}}\] is placed. In the rest of the space, there is another plate of thickness \[{{t}_{2}}\] and dielectric constant \[{{k}_{2}}\]. The potential difference across the condenser will be [MP PET 1993]
A.	\[\frac{Q}{A{{\varepsilon }_{0}}}\left( \frac{{{t}_{1}}}{{{k}_{1}}}+\frac{{{t}_{2}}}{{{k}_{2}}} \right)\]
B.	\[\frac{{{\varepsilon }_{0}}Q}{A}\left( \frac{{{t}_{1}}}{{{k}_{1}}}+\frac{{{t}_{2}}}{{{k}_{2}}} \right)\]
C.	\[+,\,+,\,-,\,+,\,-,\,-\]
D.	\[\frac{{{\varepsilon }_{0}}Q}{A}({{k}_{1}}{{t}_{1}}+{{k}_{2}}{{t}_{2}})\]
Answer» B. \[\frac{{{\varepsilon }_{0}}Q}{A}\left( \frac{{{t}_{1}}}{{{k}_{1}}}+\frac{{{t}_{2}}}{{{k}_{2}}} \right)\]

Discussion

No Comment Found

Related MCQs

Two point charges \[100\,\mu \,C\] and \[5\,\mu \,C\] are placed at points \[A\] and \[B\] respectively with \[AB=40\,cm\]. The work done by external force in displacing the charge \[5\,\mu \,C\] from \[B\] to \[C\], where \[BC=30\,cm\], angle \[ABC=\frac{\pi }{2}\] and \[\frac{1}{4\pi {{\varepsilon }_{0}}}=9\times {{10}^{9}}N{{m}^{2}}/{{C}^{2}}\] [MP PMT 1997]
A particle \[A\] has charge \[+q\] and a particle \[B\] has charge \[+\,4q\] with each of them having the same mass \[m\]. When allowed to fall from rest through the same electric potential difference, the ratio of their speed \[\frac{{{v}_{A}}}{{{v}_{B}}}\] will become [BHU 1995; MNR 1991; UPSEAT 2000; Pb PET 2004]
Charges of \[+\frac{10}{3}\times {{10}^{-9}}C\] are placed at each of the four corners of a square of side \[8\,cm\]. The potential at the intersection of the diagonals is [BIT 1993]
Two charges are at a distance ?d? apart. If a copper plate (conducting medium) of thickness \[\frac{d}{2}\] is placed between them, the effective force will be [UPSEAT 2001; J & K CET 2005]
A charge \[Q\] is divided into two parts of \[q\] and \[Q-q\]. If the coulomb repulsion between them when they are separated is to be maximum, the ratio of \[\frac{Q}{q}\] should be [MP PET 1997]
Two identical point charges are placed at a separation of d. P is a point on the line joining the charges, at a distance x from any one charge. The field at P is E, E is plotted against x for values of x from close to zero to slightly less than d. Which of the following represents the resulting curve
Point charge \[q\] moves from point \[P\] to point \[S\] along the path \[PQRS\] (figure shown) in a uniform electric field \[E\] pointing coparallel to the positive direction of the \[X-\]axis. The coordinates of the points \[P,\,Q,\,R\] and \[S\] are \[(a,\,b,\,0),\ (2a,\,0,\,0),\ (a,\,-b,\,0)\] and \[(0,\,0,\,0)\] respectively. The work done by the field in the above process is given by the expression [IIT 1989]
The electric intensity due to an infinite cylinder of radius and having charge q per unit length at a distance from its axis is [MP PMT 1993; AFMC 2000]
Electric field at a point varies as for
Two metal spheres of radii \[{{R}_{1}}\] and \[{{R}_{2}}\] are charged to the same potential. The ratio of charges on the spheres is [KCET 1999]

Discussion

No Comment Found

Related MCQs

Reply to Comment