What's so SPECIAL in new Number Plates? #shorts

The two plates of a parallel plate capacitor are 4 mm apart. A slab of dielectric constant 3 and thickness 3 mm is introduced between the plates is so adujected that the capacitance of the capacitor becomes (2)/(3) rd of its original value. What is the new distance between the plates ?

A positive number is 5 xx another number. If 21 is added to both the numbers,then one of the new numbers becomes twice the other new number.What are the numbers?

Two identical metal plates separated by a distance 'd' form parallel plate capacitor (air gap) of capacitance C. A metal sheet of thickness (d/2) and same dimensions is inserted between the plates ,so that the air gap is separated into two equals parts. The new capacity of the system will be:

A parallel plate capacitor with vacuum between its plates has capacitance C . A slabe of dielectric constant K and having the same thickness as the separation between the plates is introduced so as to fill 1//3^(rd) of the capacitor as shown in the figure. the new capacitance will be

parallel plate capacitor has capacitance C when no dielectric between thw plates. Now a slab of dielectric constant K , having same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. the new capacitance will be

A table tennis ball covered with a conducting paint is suspended by a silk thread so that it hangs between tow metal plates. One plate is earthed, when the other plate is connected to a high voltage generator, what will happen to the ball.

A positive number is 7 xx another number. If 15 is added to both the numbers,then one of the new number becomes (5)/(2) xx the other new number: What are the numbers?

A parallel plate capacitor ils arrranged horizontally in a mechanical situation with the lower plate is fixed and the other connected with a perpendicular spring as shown in figure. The area of eachh plate is A and in equilibrium the distance between te plates is d_(0) . WHen the capacitor is connected with a source of voltage V , a new equilibrium appears after some displacement in upper plate with the new distasnce between the plates d_(1) . Given that mass of the upper plate is m

Simplify the following circuit so that new circuit has minimum number of switches. Also draw simplified circuit.