ICSE physics

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Question
ICSEENIPH12030027

State Gauss’s theorem.

Solution

Gauss’s theorem : It states that the electric flux fE, through any closed surface is 1/Î0 times the total charge q enclosed by the surface.
Mathematically, 
straight ϕ subscript straight E space equals space straight E with rightwards harpoon with barb upwards on top space. space ds with rightwards harpoon with barb upwards on top space equals space straight q over straight epsilon subscript straight o

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Question
ICSEENIPH12030028

What will be the net electric force acting on an electric dipole placed in a uniform electric field ?

Solution

The net electric force on an electric dipole placed in a uniform electric field is zero.

Question
ICSEENIPH12030029

Calculate the electric current density in a uniform wire connected to a battery of emf 3.5 V and negligible internal resistance. The resistance of the wire is 2.0 Ω and its area of cross section is 0.70 x 10-6 m.

Solution

Given,
EMF of battery = 3.5V

Resistance of wire = 2.0 Ω

Area of cross section = 0.70 x 10-6m2

Current comma space straight I space equals space straight V over straight R space equals space fraction numerator 3.5 over denominator 2 end fraction

             I = 1.75 A
Current density, J = straight I over straight A space equals space fraction numerator 1.75 over denominator 0.70 space x space 10 to the power of negative 6 end exponent space m squared end fraction 
i.e.,                J = 2.5 x 106 A/m2

Question
ICSEENIPH12030030

Name the two conservation laws implied in Kirchoffs laws for electric circuits.

Solution

Two conservation laws implied in Kirchoffs law for circuits are —

(a) Law of conservation of energy

(b) Law of conservation of change i.e., total current into any point in a circuit is equal to the total current out of that point.

Question
ICSEENIPH12030031

Write in vector form, the defining equation for a magnetic field B at a point.

Solution

Force acting on a charged particle in a magnetic field B is given by, 
= q vB
where,
v is the velocity of the charged particle and
b is the magnetic field acting on the particle.