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How does the resistivity of a semiconductor change with rise of temperature ? Explain.
Concept: Resistivity of Various Materials
Twelve wires each having a resistance of 3 Ω are connected to form a cubical network. A battery of 10 V and negligible internal resistance is connected across the diagonally opposite corners of this network. Determine its equivalent resistance and the current along each edge of the cube.
Concept: Kirchhoff’s Laws
A variable resistor R is connected across a cell of emf ε and internal resistance r as shown in the figure. Draw a plot showing the variation of
(i) Terminal voltage V and
(ii) the current I, as a function of R.

Concept: Temperature Dependence of Resistivity
The temperature (T) dependence of resistivity of materials A and material B is represented by fig (i) and fig (ii) respectively. Identify material A and material B.
![]() fig. (i) |
![]() fig. (ii) |
Concept: Temperature Dependence of Resistivity
State the two Kirchhoff’s rules used in the analysis of electric circuits and explain them.
Concept: Kirchhoff’s Laws
Derive the equation of the balanced state in a Wheatstone bridge using Kirchhoff’s laws.
Concept: Kirchhoff’s Laws
The potential difference applied across a given conductor is doubled. How will this affect (i) the mobility of electrons and (ii) the current density in the conductor? Justify your answers.
Concept: Drift of Electrons and the Origin of Resistivity
A potential difference (V) is applied across a conductor of length 'L' and cross-sectional area 'A'.
How will the drift velocity of electrons and the current density be affected if another identical conductor of the same material were connected in series with the first conductor? Justify your answers.
Concept: Drift of Electrons and the Origin of Resistivity
- Assertion (A): The given figure does not show a balanced Wheatstone bridge.
- Reason (R): For a balanced bridge small current should flow through the galvanometer.
Concept: Wheatstone Bridge
Two conductors, made of the same material have equal lengths but different cross-sectional areas A1 and A2 (A1 > A2). They are connected in parallel across a cell. Show that the drift velocities of electrons in two conductors are equal.
Concept: Drift of Electrons and the Origin of Resistivity
Write Maxwell's generalization of Ampere's circuital law. Show that in the process of charging a capacitor, the current produced within the plates of the capacitor is `I=varepsilon_0 (dphi_E)/dt,`where ΦE is the electric flux produced during charging of the capacitor plates.
Concept: Ampere’s Circuital Law
Write Maxwell's generalization of Ampere's circuital law. Show that in the process of charging a capacitor, the current produced within the plates of the capacitor is `I=varepsilon_0 (dphi_E)/dt,`where ΦE is the electric flux produced during charging of the capacitor plates.
Concept: Ampere’s Circuital Law
Why does a galvanometer show a momentary deflection at the time of charging or discharging a capacitor? Write the necessary expression to explain this observation.
Concept: Moving Coil Galvanometer
Electron drift speed is estimated to be of the order of mm s−1. Yet large current of the order of few amperes can be set up in the wire. Explain briefly.
Concept: Ampere’s Circuital Law
Derive the expression for the magnetic field due to a solenoid of length ‘2l’, radius ‘a’ having ’n’ number of turns per unit length and carrying a steady current ‘I’ at a point
on the axial line, distance ‘r’ from the centre of the solenoid. How does this expression compare with the axial magnetic field due to a bar magnet of magnetic moment ‘m’?
Concept: Solenoid
Define the term self-inductance of a solenoid.
Concept: Solenoid
How does one understand this motional emf by invoking the Lorentz force acting on the free charge carriers of the conductor? Explain.
Concept: Force Between Two Parallel Currents (Ampere’s Law)
Obtain the expression for the magnetic energy stored in an inductor of self-inductance L to build up a current I through it.
Concept: Solenoid
The figure shows three infinitely long straight parallel current carrying conductors. Find the
- magnitude and direction of the net magnetic field at point A lying on conductor 1,
- magnetic force on conductor 2.

Concept: Force Between Two Parallel Currents (Ampere’s Law)
Depict the behaviour of magnetic field lines in the presence of a diamagnetic material?
Concept: Motion in a Magnetic Field


