Two point charges of +2 \(\mu C\) and +6 \(\mu C\) repel each other with a force of 12N. If each is given an additional charge of -4\(\mu C\) , what will be the new force?

2

(a)

what does (q1 + q2) = 0 Signify ?

2

(a)

Can you say that SI unit of \(\epsilon_o\) is farad per metre?

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(a)

A bird perches on a bare high power line and nothing happens to the bird. A man standing on the ground touches the same line and gets a fatal shock why?

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(a)

Two metal plates of a parallel plate capacitor are at distance d apart. A metal sheet of thickness d / 2 of the same area is introduced between the plates, what is the ratio of capacitances in these cases.

2

(a)

Calculate the amount of work done to dissociate a system of three charge 1 \(\mu\)C, 1 \(\mu\)C and - 4 \(\mu\)C placed on the vertices of an equilateral triangle of side 10 cm.

2

(a)

Figure shows two large metal plates P1 and P2 tightly held against each other and placed between two equal and unlike point charges perpendicular to the line joining them. What will happen to the plates when they are released?
Draw the pattern of the electric field lines for the system.

2

(a)

Two point charges q₁ and q₂ are located at r₁and r₂ respectively in an external electric field E. Obtain the expression for the total work done in assembling this configuration.

2

(a)

1μ F capacitance connected to a battery of 6 V. Initially switch S is closed. After sometime S is left open and dielectric slabs of dielectric constant K = 3 are inserted to fill completely the space between the plates of the two capacitors. How will the (i) charge and (ii) potential difference between the plates of the capacitors be affected after the slabs are inserted?

2

(a)

You are given an air filled parallel plate capacitor C₁. The space between its plates is now filled with slabs of dielectric constants K₁ and K₂ as shown in figure. Find the capacitance of the capacitor C₂ if area of the plates is A and distance between the plates is d.

2

(a)

An electric dipole is held in an uniform electric field. Using suitable diagram, show at it doesn't undergo any translatory motion, and (ii) derive an expression for torque acting on it and specify its direction.

2

(a)

A charged Particle q is shot towards another charged particle Q which is fixed , with a speed v. It approaches Q up to a closet distance r and then returns, If q were given a speed 2 v the n find the closet distance of approach.

2

(a)

Two Capacitors of capacitace 6\(\mu \)F and 12\(\mu \)F ae connnected in series with tha battery the volatage across the 6\(\mu \)F capacitor is 2 volt, Compute the total battery voltage.

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(a)