13%20-%20Electrostatics

13%20-%20Electrostatics - 13 - ELECTROSTATICS Page 1 (...

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13 - ELECTROSTATICS Page 1 ( Answers at the end of all questions ) 1 ) Two point charges + 8q and - 2q are located at x = 0 and x = L respectively. The location of a point on the x axis at which the net electric field due to these two point charges is zero is ( a ) L / 4 ( b ) 2 L ( c ) 4 L ( d ) 8 L [ AIEEE 2005 ] 2 ) Two thin wire rings each having a radius R are placed at a distance d apart with their axes coinciding. The charges on the two rings are + q and - q. The potential difference between the centres of the two rings is ( a ) 2 d + 2 R 1 R 1 2 q - 0 πε ( b ) 2 d 4 qR 0 πε ( c ) 2 d + 2 R 1 R 1 4 q - 0 πε ( d ) zero [ AIEEE 2005 ] 3 ) A parallel plate capacitor is made by stacking n equally spaced plates connected alternatively. If the capacitance between any two adjacent plates is ‘C’, then the resultant capacitance is ( a ) ( n + 1 )C ( b ) ( n - 1 )C ( c ) nC ( d ) C [ AIEEE 2005 ] 4 ) A charged ball B hangs from a silk thread S, which makes an angle θ with a large conducting sheet P, as shown in the figure. The surface charge density σ of the sheet is proportional to ( a ) cot θ ( b ) cos θ ( c ) tan θ ( d ) sin θ [ AIEEE 2005 ] 5 ) A fully charged capacitor has a capacitance ‘C’. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity ‘s’ and mass ‘m’. If the temperature of the block is raised by T’, the potential difference ‘V’ across the capacitance is ( a ) s T C m ( b s T C m 2 ( c ) C T s m 2 ( d C T s m [ AIEEE 2005 ] 6 ) Two spherical conductors B and C having equal radii and carrying equal charges in them repel each other with a force F when kept apart at some distance. A third spherical conductor having same radius as that of B but uncharged, is brought in contact with B, then brought in contact with C and finally removed away from both. The new force of repulsion between B and C is ( a ) F / 4 ( b ) 3 F / 4 ( c ) F / 8 ( d ) 3 F / 8 [ AIEEE 2004 ] 7 ) A charged particle q is shot towards another charged particle Q, which is fixed, with a speed v. It approaches Q upto a closest distance r and then returns. If q was given a speed 2v, the closest distance of approach would be ( a ) r ( b ) 2r ( c ) r / 2 ( d ) r / 4 [ AIEEE 2004 ] → r Q - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - q v
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13 - ELECTROSTATICS Page 2 ( Answers at the end of all questions ) 8 ) Four charges equal to - Q are placed at the four corners of the square and a charge q is at its centre. If the system is in equilibrium, the value of q is ( a ) ) 2 2 1 ( 4 Q + - ( b ) ) 2 2 1 ( 4 Q + ( c ) ) 2 2 1 ( 2 Q + - ( d ) ) 2 2 1 ( 2 Q + [ AIEEE 2004 ] 9 ) Three charges - q 1 , +q 2 and - q 3 are placed as shown in the figure. The x-component of the force on - q 1 is proportional to ( a ) θ sin a q b q 2 3 2 2 - ( b ) θ cos a q b q 2 3 2 2 - ( c ) θ + sin a q b q 2 3 2 2 ( d ) θ + sin a q b q 2 3 2 2 [ AIEEE 2003 ] 10 ) A thin spherical conducting
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13%20-%20Electrostatics - 13 - ELECTROSTATICS Page 1 (...

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