CAPACITANCE
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Electrostatic Potentials and Capacitance

268159 A parallel plate capacitor with air as medium between the plates has a capacitance of 10\(\mu F\). The area of the capacitor is divided into two equal halves and filled with two media having dielectric constant \(K_{1}=2\) and \(K_{2}=4\). The capacitance will now be

1 \(10 \mu \mathrm{F}\)
2 \(20 \mu \mathrm{F}\)
3 \(30 \mu\)
4 \(40 \mu \mathrm{F}\)
Electrostatic Potentials and Capacitance

268160 The capacity of a parallel plate condenser with air medium is\(60 \mu \mathrm{F}\) having distance of seperation \(d\). If the space between the plates is filled with two slabseach of thinckness \(d / 2\) and dielectric constants 4 and 8 , the effective capacity becomes

1 \(160 \mu F\)
2 \(320 \mu F\)
3 \(640 \mu \mathrm{F}\)
4 \(360 \mu F\)
Electrostatic Potentials and Capacitance

268162 The capacity between the point\(A\) and \(B\) in the adj oining circuit wil be

1 \(\frac{2 C_{1} C_{2}+C_{3}\left(C_{1}+C_{2}\right)}{C_{1}+C_{2}+2 C_{3}}\)
2 \(\frac{C_{1} C_{2}+C_{2} C_{3}+C_{3} C_{1}}{C_{1}+C_{2}+C_{3}}\)
3 \(\frac{C_{1}\left(C_{2}+C_{3}\right)+C_{2}\left(C_{1}+C_{3}\right)}{C_{1}+C_{2}+3 C_{3}}\)
4 \(\frac{C_{1} C_{2} C_{3}}{C_{1} C_{2}+C_{2} C_{3}+C_{3} C_{1}}\)
Electrostatic Potentials and Capacitance

268152 In the figure shown the effective capacity across\(P\) and \(Q\) is (the area of each plate is ' \(a\) ')

1 \(\frac{a \epsilon_{0}}{d}\left[\frac{K_{1}}{2}+\frac{K_{2} K_{3}}{K_{2}+K_{3}}\right]\)
2 \(\frac{a \epsilon_{0}}{2 d}\left[\frac{K_{2}}{2}+\frac{K_{1} K_{3}}{K_{1}+K_{3}}\right]\)
3 \(\frac{a \epsilon_{0}}{3 d}\left[\frac{K_{3}}{2}+\frac{K_{1} K_{2}}{K_{1}+K_{2}}\right]\)
4 \(\frac{a \epsilon_{0}}{d}\left[\frac{K_{1}}{2}+\frac{K_{1}+K_{2}}{K_{2} K_{3}}\right]\)
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Electrostatic Potentials and Capacitance

268159 A parallel plate capacitor with air as medium between the plates has a capacitance of 10\(\mu F\). The area of the capacitor is divided into two equal halves and filled with two media having dielectric constant \(K_{1}=2\) and \(K_{2}=4\). The capacitance will now be

1 \(10 \mu \mathrm{F}\)
2 \(20 \mu \mathrm{F}\)
3 \(30 \mu\)
4 \(40 \mu \mathrm{F}\)
Electrostatic Potentials and Capacitance

268160 The capacity of a parallel plate condenser with air medium is\(60 \mu \mathrm{F}\) having distance of seperation \(d\). If the space between the plates is filled with two slabseach of thinckness \(d / 2\) and dielectric constants 4 and 8 , the effective capacity becomes

1 \(160 \mu F\)
2 \(320 \mu F\)
3 \(640 \mu \mathrm{F}\)
4 \(360 \mu F\)
Electrostatic Potentials and Capacitance

268162 The capacity between the point\(A\) and \(B\) in the adj oining circuit wil be

1 \(\frac{2 C_{1} C_{2}+C_{3}\left(C_{1}+C_{2}\right)}{C_{1}+C_{2}+2 C_{3}}\)
2 \(\frac{C_{1} C_{2}+C_{2} C_{3}+C_{3} C_{1}}{C_{1}+C_{2}+C_{3}}\)
3 \(\frac{C_{1}\left(C_{2}+C_{3}\right)+C_{2}\left(C_{1}+C_{3}\right)}{C_{1}+C_{2}+3 C_{3}}\)
4 \(\frac{C_{1} C_{2} C_{3}}{C_{1} C_{2}+C_{2} C_{3}+C_{3} C_{1}}\)
Electrostatic Potentials and Capacitance

268152 In the figure shown the effective capacity across\(P\) and \(Q\) is (the area of each plate is ' \(a\) ')

1 \(\frac{a \epsilon_{0}}{d}\left[\frac{K_{1}}{2}+\frac{K_{2} K_{3}}{K_{2}+K_{3}}\right]\)
2 \(\frac{a \epsilon_{0}}{2 d}\left[\frac{K_{2}}{2}+\frac{K_{1} K_{3}}{K_{1}+K_{3}}\right]\)
3 \(\frac{a \epsilon_{0}}{3 d}\left[\frac{K_{3}}{2}+\frac{K_{1} K_{2}}{K_{1}+K_{2}}\right]\)
4 \(\frac{a \epsilon_{0}}{d}\left[\frac{K_{1}}{2}+\frac{K_{1}+K_{2}}{K_{2} K_{3}}\right]\)
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Electrostatic Potentials and Capacitance

268159 A parallel plate capacitor with air as medium between the plates has a capacitance of 10\(\mu F\). The area of the capacitor is divided into two equal halves and filled with two media having dielectric constant \(K_{1}=2\) and \(K_{2}=4\). The capacitance will now be

1 \(10 \mu \mathrm{F}\)
2 \(20 \mu \mathrm{F}\)
3 \(30 \mu\)
4 \(40 \mu \mathrm{F}\)
Electrostatic Potentials and Capacitance

268160 The capacity of a parallel plate condenser with air medium is\(60 \mu \mathrm{F}\) having distance of seperation \(d\). If the space between the plates is filled with two slabseach of thinckness \(d / 2\) and dielectric constants 4 and 8 , the effective capacity becomes

1 \(160 \mu F\)
2 \(320 \mu F\)
3 \(640 \mu \mathrm{F}\)
4 \(360 \mu F\)
Electrostatic Potentials and Capacitance

268162 The capacity between the point\(A\) and \(B\) in the adj oining circuit wil be

1 \(\frac{2 C_{1} C_{2}+C_{3}\left(C_{1}+C_{2}\right)}{C_{1}+C_{2}+2 C_{3}}\)
2 \(\frac{C_{1} C_{2}+C_{2} C_{3}+C_{3} C_{1}}{C_{1}+C_{2}+C_{3}}\)
3 \(\frac{C_{1}\left(C_{2}+C_{3}\right)+C_{2}\left(C_{1}+C_{3}\right)}{C_{1}+C_{2}+3 C_{3}}\)
4 \(\frac{C_{1} C_{2} C_{3}}{C_{1} C_{2}+C_{2} C_{3}+C_{3} C_{1}}\)
Electrostatic Potentials and Capacitance

268152 In the figure shown the effective capacity across\(P\) and \(Q\) is (the area of each plate is ' \(a\) ')

1 \(\frac{a \epsilon_{0}}{d}\left[\frac{K_{1}}{2}+\frac{K_{2} K_{3}}{K_{2}+K_{3}}\right]\)
2 \(\frac{a \epsilon_{0}}{2 d}\left[\frac{K_{2}}{2}+\frac{K_{1} K_{3}}{K_{1}+K_{3}}\right]\)
3 \(\frac{a \epsilon_{0}}{3 d}\left[\frac{K_{3}}{2}+\frac{K_{1} K_{2}}{K_{1}+K_{2}}\right]\)
4 \(\frac{a \epsilon_{0}}{d}\left[\frac{K_{1}}{2}+\frac{K_{1}+K_{2}}{K_{2} K_{3}}\right]\)
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Electrostatic Potentials and Capacitance

268159 A parallel plate capacitor with air as medium between the plates has a capacitance of 10\(\mu F\). The area of the capacitor is divided into two equal halves and filled with two media having dielectric constant \(K_{1}=2\) and \(K_{2}=4\). The capacitance will now be

1 \(10 \mu \mathrm{F}\)
2 \(20 \mu \mathrm{F}\)
3 \(30 \mu\)
4 \(40 \mu \mathrm{F}\)
Electrostatic Potentials and Capacitance

268160 The capacity of a parallel plate condenser with air medium is\(60 \mu \mathrm{F}\) having distance of seperation \(d\). If the space between the plates is filled with two slabseach of thinckness \(d / 2\) and dielectric constants 4 and 8 , the effective capacity becomes

1 \(160 \mu F\)
2 \(320 \mu F\)
3 \(640 \mu \mathrm{F}\)
4 \(360 \mu F\)
Electrostatic Potentials and Capacitance

268162 The capacity between the point\(A\) and \(B\) in the adj oining circuit wil be

1 \(\frac{2 C_{1} C_{2}+C_{3}\left(C_{1}+C_{2}\right)}{C_{1}+C_{2}+2 C_{3}}\)
2 \(\frac{C_{1} C_{2}+C_{2} C_{3}+C_{3} C_{1}}{C_{1}+C_{2}+C_{3}}\)
3 \(\frac{C_{1}\left(C_{2}+C_{3}\right)+C_{2}\left(C_{1}+C_{3}\right)}{C_{1}+C_{2}+3 C_{3}}\)
4 \(\frac{C_{1} C_{2} C_{3}}{C_{1} C_{2}+C_{2} C_{3}+C_{3} C_{1}}\)
Electrostatic Potentials and Capacitance

268152 In the figure shown the effective capacity across\(P\) and \(Q\) is (the area of each plate is ' \(a\) ')

1 \(\frac{a \epsilon_{0}}{d}\left[\frac{K_{1}}{2}+\frac{K_{2} K_{3}}{K_{2}+K_{3}}\right]\)
2 \(\frac{a \epsilon_{0}}{2 d}\left[\frac{K_{2}}{2}+\frac{K_{1} K_{3}}{K_{1}+K_{3}}\right]\)
3 \(\frac{a \epsilon_{0}}{3 d}\left[\frac{K_{3}}{2}+\frac{K_{1} K_{2}}{K_{1}+K_{2}}\right]\)
4 \(\frac{a \epsilon_{0}}{d}\left[\frac{K_{1}}{2}+\frac{K_{1}+K_{2}}{K_{2} K_{3}}\right]\)
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