A capacitor has capacitance 5 F when it's parallel plates are sep… - Vidyadip

Question

A capacitor has capacitance $5 \mu F$ when it's parallel plates are separated by air medium of thickness $d$. A slab of material of dielectric constant $1.5$ having area equal to that of plates but thickness $\frac{ d }{2}$ is inserted between the plates. Capacitance of the capacitor in the presence of slab will be $..........\mu F$

✓

Answer

$C _{\text {new }}=\frac{\in_0 A }{\frac{\left(\frac{ d }{2}\right)}{1.5}+\frac{\left(\frac{ d }{2}\right)}{1}}$

$=\frac{\in_0 A}{\left(\frac{d}{3}+\frac{d}{2}\right)}=\frac{6 \in_0 A}{5 d}$

$=\frac{6}{5} \times 5 \mu F =6 \mu F$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

NEET STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A capacitor of capacity $C$ is connected with a battery of potential $V$ in parallel. The distance between its plates is reduced to half at once, assuming that the charge remains the same. Then to charge the capacitance upto the potential $V$ again, the energy given by the battery will be

Out of the following, the only pair that does not have identical dimensions is

An ideal gas undergoes a circular cycle centred at $4 \,atm , 4 L$ as shown in the diagram. The maximum temperature attained in this process is close to

The pressure at the bottom of a water tank is $4 P$. where $P$ is atmospheric pressure. If water is drawn out till the water level decreases by $\frac{3}{5}$ th, then pressure at the bottom of the tank is .........

A biconvex lens has a radius of curvature of magnitude $20\,\, cm.$ Which one of the following options describe best the image formed of an object of height $2 \,\,cm$ placed $30 \,\,cm$ from the lens?

Figure shows three similar lamp. $L_1,L_2$ and $L_3$ connected across a power supply. If the lamp $L_3$ fuses, how will the light emitted by $L_1$ and $L_2$ change ?

A book is resting on a shelf that is undergoing vertical simple harmonic oscillations with an amplitude of $2.5 \,cm$. What is the minimum frequency of oscillation of the shelf for .......... $Hz$ the book will lose contact with the shelf? (Assume that, $g=10 \,ms ^{-2}$ )

A massless inextensible string in the form of a loop is placed on a horizontal film of soap solution of surface tension $T$. If film is pierced inside the loop and it convert into a circular loop of diameter $d$, then the tension produced in string is ..........

Regarding speed of sound in gas match the following

$(A)$ Temperature of gas is made $4$ times and pressure $2$ times	$(P)$ speed becomes $2\sqrt 2$ times
$(B)$ Only pressure is made $4$ times without change in temperature	$(Q)$ speed become $2$ times
$(C)$ Only temperature is changed to $4$ times	$(R)$ speed remains unchanged
$(D)$ Molecular mass of the gas is made $4$ times	$(S)$ speed remains half

A transistor-oscillator using a resonant circuit with an inductor $L$ (of negligible resistance) and a capacitor $C$ in series produce oscillations of frequency $f$. If $L$ is doubled and $C$ is changed to $4C,$ the frequency will be