Capacitance
Capacitance

165658 The capacitance of a spherical condenser is $1 \mu \mathrm{F}$. If the spacing between the two spheres is 1 $\mathrm{mm}$, the radius of the outer sphere is

1 $30 \mathrm{~cm}$
2 $6 \mathrm{~m}$
3 $5 \mathrm{~cm}$
4 $3 \mathrm{~m}$
Capacitance

165655 Two spherical conductors $A$ and $B$ of radii a and $b(b>a)$ are placed concentrically in air. The two are connected by a copper wire as shown in figure. Then the equivalent capacitance of the system is

1 $4 \pi \varepsilon_{0} \frac{\mathrm{ab}}{\mathrm{b}-\mathrm{a}}$
2 $4 \pi \varepsilon_{0}(a+b)$
3 $4 \pi \varepsilon_{0} \mathrm{~b}$
4 $4 \pi \varepsilon_{0} \mathrm{a}$
Capacitance

165659 A parallel plate capacitor of capacitance 5 micro farad is charged to $120 \mathrm{~V}$ and then connected to another uncharged capacitor. If the potential falls to $40 \mathrm{~V}$, the capacitance of the second capacitor is

1 5 micro farad
2 10 micro farad
3 15 micro farad
4 20 micro farad
Capacitance

165660 A pair of parallel metal plates are kept with a separation $d$. One plate is at a potential $+\mathrm{V}$ and the other is at ground potential. A narrow beam of electrons enters the space between the plates with a velocity $v_{0}$ and in a direction parallel to the plates. What will be the angle of the beam with the plates after it travels an axial distance $L$ ?

1 $\tan ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}}\right)$
2 $\tan ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}^{2}}\right)$
3 $\sin ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}}\right)$
4 $\cos ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}^{2}}\right)$
Capacitance

165661 A parallel plate capacitor in series with a resistance of $100 \Omega$, an inductor of $20 \mathrm{mH}$ and an AC voltage source of variable frequency shows resonance at a frequency of $\frac{1250}{\pi} \mathrm{Hz}$. If this capacitor is charged by a DC voltage source to a voltage $25 \mathrm{~V}$, what amount of charge will be stored in each plate of the capacitor?

1 $0.2 \mu \mathrm{C}$
2 $2 \mathrm{mC}$
3 $0.2 \mathrm{mC}$
4 $0.2 \mathrm{C}$
Capacitance

165658 The capacitance of a spherical condenser is $1 \mu \mathrm{F}$. If the spacing between the two spheres is 1 $\mathrm{mm}$, the radius of the outer sphere is

1 $30 \mathrm{~cm}$
2 $6 \mathrm{~m}$
3 $5 \mathrm{~cm}$
4 $3 \mathrm{~m}$
Capacitance

165655 Two spherical conductors $A$ and $B$ of radii a and $b(b>a)$ are placed concentrically in air. The two are connected by a copper wire as shown in figure. Then the equivalent capacitance of the system is

1 $4 \pi \varepsilon_{0} \frac{\mathrm{ab}}{\mathrm{b}-\mathrm{a}}$
2 $4 \pi \varepsilon_{0}(a+b)$
3 $4 \pi \varepsilon_{0} \mathrm{~b}$
4 $4 \pi \varepsilon_{0} \mathrm{a}$
Capacitance

165659 A parallel plate capacitor of capacitance 5 micro farad is charged to $120 \mathrm{~V}$ and then connected to another uncharged capacitor. If the potential falls to $40 \mathrm{~V}$, the capacitance of the second capacitor is

1 5 micro farad
2 10 micro farad
3 15 micro farad
4 20 micro farad
Capacitance

165660 A pair of parallel metal plates are kept with a separation $d$. One plate is at a potential $+\mathrm{V}$ and the other is at ground potential. A narrow beam of electrons enters the space between the plates with a velocity $v_{0}$ and in a direction parallel to the plates. What will be the angle of the beam with the plates after it travels an axial distance $L$ ?

1 $\tan ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}}\right)$
2 $\tan ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}^{2}}\right)$
3 $\sin ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}}\right)$
4 $\cos ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}^{2}}\right)$
Capacitance

165661 A parallel plate capacitor in series with a resistance of $100 \Omega$, an inductor of $20 \mathrm{mH}$ and an AC voltage source of variable frequency shows resonance at a frequency of $\frac{1250}{\pi} \mathrm{Hz}$. If this capacitor is charged by a DC voltage source to a voltage $25 \mathrm{~V}$, what amount of charge will be stored in each plate of the capacitor?

1 $0.2 \mu \mathrm{C}$
2 $2 \mathrm{mC}$
3 $0.2 \mathrm{mC}$
4 $0.2 \mathrm{C}$
Capacitance

165658 The capacitance of a spherical condenser is $1 \mu \mathrm{F}$. If the spacing between the two spheres is 1 $\mathrm{mm}$, the radius of the outer sphere is

1 $30 \mathrm{~cm}$
2 $6 \mathrm{~m}$
3 $5 \mathrm{~cm}$
4 $3 \mathrm{~m}$
Capacitance

165655 Two spherical conductors $A$ and $B$ of radii a and $b(b>a)$ are placed concentrically in air. The two are connected by a copper wire as shown in figure. Then the equivalent capacitance of the system is

1 $4 \pi \varepsilon_{0} \frac{\mathrm{ab}}{\mathrm{b}-\mathrm{a}}$
2 $4 \pi \varepsilon_{0}(a+b)$
3 $4 \pi \varepsilon_{0} \mathrm{~b}$
4 $4 \pi \varepsilon_{0} \mathrm{a}$
Capacitance

165659 A parallel plate capacitor of capacitance 5 micro farad is charged to $120 \mathrm{~V}$ and then connected to another uncharged capacitor. If the potential falls to $40 \mathrm{~V}$, the capacitance of the second capacitor is

1 5 micro farad
2 10 micro farad
3 15 micro farad
4 20 micro farad
Capacitance

165660 A pair of parallel metal plates are kept with a separation $d$. One plate is at a potential $+\mathrm{V}$ and the other is at ground potential. A narrow beam of electrons enters the space between the plates with a velocity $v_{0}$ and in a direction parallel to the plates. What will be the angle of the beam with the plates after it travels an axial distance $L$ ?

1 $\tan ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}}\right)$
2 $\tan ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}^{2}}\right)$
3 $\sin ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}}\right)$
4 $\cos ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}^{2}}\right)$
Capacitance

165661 A parallel plate capacitor in series with a resistance of $100 \Omega$, an inductor of $20 \mathrm{mH}$ and an AC voltage source of variable frequency shows resonance at a frequency of $\frac{1250}{\pi} \mathrm{Hz}$. If this capacitor is charged by a DC voltage source to a voltage $25 \mathrm{~V}$, what amount of charge will be stored in each plate of the capacitor?

1 $0.2 \mu \mathrm{C}$
2 $2 \mathrm{mC}$
3 $0.2 \mathrm{mC}$
4 $0.2 \mathrm{C}$
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Capacitance

165658 The capacitance of a spherical condenser is $1 \mu \mathrm{F}$. If the spacing between the two spheres is 1 $\mathrm{mm}$, the radius of the outer sphere is

1 $30 \mathrm{~cm}$
2 $6 \mathrm{~m}$
3 $5 \mathrm{~cm}$
4 $3 \mathrm{~m}$
Capacitance

165655 Two spherical conductors $A$ and $B$ of radii a and $b(b>a)$ are placed concentrically in air. The two are connected by a copper wire as shown in figure. Then the equivalent capacitance of the system is

1 $4 \pi \varepsilon_{0} \frac{\mathrm{ab}}{\mathrm{b}-\mathrm{a}}$
2 $4 \pi \varepsilon_{0}(a+b)$
3 $4 \pi \varepsilon_{0} \mathrm{~b}$
4 $4 \pi \varepsilon_{0} \mathrm{a}$
Capacitance

165659 A parallel plate capacitor of capacitance 5 micro farad is charged to $120 \mathrm{~V}$ and then connected to another uncharged capacitor. If the potential falls to $40 \mathrm{~V}$, the capacitance of the second capacitor is

1 5 micro farad
2 10 micro farad
3 15 micro farad
4 20 micro farad
Capacitance

165660 A pair of parallel metal plates are kept with a separation $d$. One plate is at a potential $+\mathrm{V}$ and the other is at ground potential. A narrow beam of electrons enters the space between the plates with a velocity $v_{0}$ and in a direction parallel to the plates. What will be the angle of the beam with the plates after it travels an axial distance $L$ ?

1 $\tan ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}}\right)$
2 $\tan ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}^{2}}\right)$
3 $\sin ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}}\right)$
4 $\cos ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}^{2}}\right)$
Capacitance

165661 A parallel plate capacitor in series with a resistance of $100 \Omega$, an inductor of $20 \mathrm{mH}$ and an AC voltage source of variable frequency shows resonance at a frequency of $\frac{1250}{\pi} \mathrm{Hz}$. If this capacitor is charged by a DC voltage source to a voltage $25 \mathrm{~V}$, what amount of charge will be stored in each plate of the capacitor?

1 $0.2 \mu \mathrm{C}$
2 $2 \mathrm{mC}$
3 $0.2 \mathrm{mC}$
4 $0.2 \mathrm{C}$
Capacitance

165658 The capacitance of a spherical condenser is $1 \mu \mathrm{F}$. If the spacing between the two spheres is 1 $\mathrm{mm}$, the radius of the outer sphere is

1 $30 \mathrm{~cm}$
2 $6 \mathrm{~m}$
3 $5 \mathrm{~cm}$
4 $3 \mathrm{~m}$
Capacitance

165655 Two spherical conductors $A$ and $B$ of radii a and $b(b>a)$ are placed concentrically in air. The two are connected by a copper wire as shown in figure. Then the equivalent capacitance of the system is

1 $4 \pi \varepsilon_{0} \frac{\mathrm{ab}}{\mathrm{b}-\mathrm{a}}$
2 $4 \pi \varepsilon_{0}(a+b)$
3 $4 \pi \varepsilon_{0} \mathrm{~b}$
4 $4 \pi \varepsilon_{0} \mathrm{a}$
Capacitance

165659 A parallel plate capacitor of capacitance 5 micro farad is charged to $120 \mathrm{~V}$ and then connected to another uncharged capacitor. If the potential falls to $40 \mathrm{~V}$, the capacitance of the second capacitor is

1 5 micro farad
2 10 micro farad
3 15 micro farad
4 20 micro farad
Capacitance

165660 A pair of parallel metal plates are kept with a separation $d$. One plate is at a potential $+\mathrm{V}$ and the other is at ground potential. A narrow beam of electrons enters the space between the plates with a velocity $v_{0}$ and in a direction parallel to the plates. What will be the angle of the beam with the plates after it travels an axial distance $L$ ?

1 $\tan ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}}\right)$
2 $\tan ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}^{2}}\right)$
3 $\sin ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}}\right)$
4 $\cos ^{-1}\left(\frac{\mathrm{eVL}}{\mathrm{mdv}_{0}^{2}}\right)$
Capacitance

165661 A parallel plate capacitor in series with a resistance of $100 \Omega$, an inductor of $20 \mathrm{mH}$ and an AC voltage source of variable frequency shows resonance at a frequency of $\frac{1250}{\pi} \mathrm{Hz}$. If this capacitor is charged by a DC voltage source to a voltage $25 \mathrm{~V}$, what amount of charge will be stored in each plate of the capacitor?

1 $0.2 \mu \mathrm{C}$
2 $2 \mathrm{mC}$
3 $0.2 \mathrm{mC}$
4 $0.2 \mathrm{C}$