Three capacitors each of capacity 4 μF are to be connected in such a way that the effective capacitance is 6 μF. This can be done by 

(1) Connecting them in parallel

(2) Connecting two in series and one in parallel

(3) Connecting two in parallel and one in series

(4) Connecting all of them in series

Subtopic:  Combination of Capacitors |
 88%
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Three capacitors of capacitance 3 μF are connected in a circuit. Then their maximum and minimum capacitances will be

(1) 9 μF, 1 μF

(2) 8 μF, 2 μF

(3) 9 μF, 0 μF

(4) 3 μF, 2 μF

Subtopic:  Combination of Capacitors |
 91%
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A capacitor of capacity C1 is charged upto V volt and then connected to an uncharged capacitor of capacity C2. Then final potential difference across each will be 

(1) C2VC1+C2

(2) 1+C2C1V

(3) C1VC1+C2

(4) 1C2C1V

Subtopic:  Capacitance |
 78%
From NCERT
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Four identical capacitors are connected as shown in diagram. When a battery of 6 V is connected between A and B, the charge stored is found to be 1.5 μC. The value of C1 is 

(1) 2.5 μF

(2) 15 μF

(3) 1.5 μF

(4) 0.1 μF

Subtopic:  Combination of Capacitors |
 70%
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Two identical thin rings each of radius R meters are coaxially placed at a distance R meters apart. If Q1 coulomb and Q2 coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge q from the centre of one ring to that of other is 

(1) Zero

(2) q(Q2Q1)(21)2.4πε0R

(3) q2(Q1+Q2)4πε0R

(4) q(Q1+Q2)(2+1)2.4πε0R

Subtopic:  Electric Potential |
 54%
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A non-conducting ring of radius 0.5 m carries a total charge of 1.11 × 10–10 C distributed non-uniformly on its circumference producing an electric field E everywhere in space. The value of the line integral l=l=0E.dl(l=0 being centre of the ring) in volt is 

(1) + 2

(2) – 1

(3) – 2

(4) Zero

Subtopic:  Relation between Field & Potential |
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A negatively charged plate has charge density of 2 × 10–6 C/m2. The initial distance of an electron which is moving toward plate but cannot strike the plate, if it is having energy of 200 eV 

(1) 1.77 mm

(2) 3.51 mm

(3) 1.77 cm

(4) 3.51 cm

Subtopic:  Electric Potential Energy |
 55%
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Electric potential is given by

V=6x8xy28y+6yz4z2

Then electric force acting on 2C point charge placed on origin will be 

(1) 2N

(2) 6N

(3) 8N

(4) 20N

Subtopic:  Relation between Field & Potential |
 67%
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Consider two points \(1\) and \(2\) in a region outside a charged sphere. Two points are not very far away from the sphere. If \(E\) and \(V\) represent the electric field vector and the electric potential, which of the following is not possible?

1.  \(\left|\vec{E}_1\right|=\left|\vec{E}_2\right|, V_1=V_2\)
2. \(\vec{E}_1 \neq \vec{E}_2, V_1 \neq V_2\)
3. \(\vec{E}_1 \neq \vec{E}_2, V_1=V_2\)
4. \(\left|\vec{E}_1\right|=\left|\vec{E}_2\right|, V_1 \neq V_2\)
Subtopic:  Relation between Field & Potential |
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A uniform electric field pointing in positive x-direction exists in a region. Let A be the origin, B be the point on the x-axis at x = +1 cm and C be the point on the y-axis at y = +1 cm. Then the potentials at the points A, B and C satisfy 

(1) VA < VB

(2) VA > VB

(3) VA < VC

(4) VA > VC

Subtopic:  Relation between Field & Potential |
 79%
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