Separation between the plates of a parallel plate capacitor is d and the area of each plate is A. When a slab of material of dielectric constant k and thickness t(t < d) is introduced between the plates, its capacitance becomes -
1. ε0Ad+t(1−1k)ε0Ad+t(1−1k)
2. ε0Ad+t(1+1k)ε0Ad+t(1+1k)
3. ε0Ad-t(1−1k)ε0Ad−t(1−1k)
4. ε0Ad-t(1+1k)ε0Ad−t(1+1k)
The capacity of parallel plate condenser depends on
1. The type of metal used
2. The thickness of plates
3. The potential applied across the plates
4. The separation between the plates
The capacity of a parallel plate condenser is C. It's capacity when the separation between the plates is halved will be?
1. 4 C
2. 2 C
3. C2C2
4. C4C4
Eight small drops, each of radius r and having same charge q are combined to form a big drop. The ratio between the potentials of the bigger drop and the smaller drop is
1. 8 : 1
2. 4 : 1
3. 2 : 1
4. 1 : 8
1000 small water drops each of radius r and charge q coalesce together to form one spherical drop. The potential of the big drop is larger than that of the smaller drop by a factor of
1. 1000
2. 100
3. 10
4. 1
A parallel plate condenser is immersed in an oil of dielectric constant 2. The field between the plates is
1. Increased proportional to 2
2. Decreased proportional to 1212
3. Increased proportional to √2√2
4. Decreased proportional to 1√21√2
If the dielectric constant and dielectric strength be denoted by kk and xx respectively, then a material suitable for use as a dielectric in a capacitor must have:
1. high kk and high xx.
2. high kk and low xx.
3. low kk and low xx.
4. low kk and high xx.
When air in a capacitor is replaced by a medium of dielectric constant K, the capacity:
1. Decreases K times
2. Increases K times
3. Increases K2 times
4. Remains constant
The capacity of a parallel plate capacitor increases with the
1. Decrease of its area
2. Increase of its distance
3. Increase of its area
4. None of the above
The radii of two metallic spheres P and Q are r1 and r2 respectively. They are given the same charge. If r1 > r2 , then on connecting them with a thin wire, the charge will flow
1. From P to Q
2. From Q to P
3. Neither the charge will flow from P to Q nor from Q to P
4. The information is incomplete