EASY
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Wheatstone bridge principle is used to measure the specific resistance S1 of given wire, having length L, radius r. If X is the resistance of wire, then specific resistance is : S1=Xπr2L. If the length of the wire gets doubled then the value of specific resistance will be :

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Important Questions on Current Electricity

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Two copper wires of length l and 2 l have radii r and 2 r respectively. The ratio of their specific resistances is.
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Two solid conductors are made up of same material, have same length and same resistance. One of them has a circular cross section of area A1 and the other one has a square cross section of area A2. The ratio A1A2 is
MEDIUM
The length of germanium rod is 0.928 cm and its area of cross-section is 1 mm2. If for germanium ni=2.5×1019 m-3, μh=0.15 m2 V-1 s-1, μe=0.35 m2 V-1 s-1 then resistivity is
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With the increase in length of a conductor, its resistivity:
 

HARD
Resistivity of the material of a conductor having uniform area of cross-section varies along its length on x, according to the relation ρ=ρ0a+bx; if L is length and A is cross-section area of conductor, then resistance of the conductor given by ρ0,a,b are constants)
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With increase in temperature, the resistivity of a conductor:
MEDIUM

Calculate the amount of charge on capacitor of 4 μF. The internal resistance of battery is 1Ω:

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MEDIUM
A wire of certain material is stretched slowly by 10%. Its new resistance and specific resistance becomes respectively
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The conductivity of a conductor decreases with temperature because, on heating:
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The unit of conductance of the material of the given conductor is _____.
MEDIUM

In a conductor, if the number of conduction electrons per unit volume is 8.5×1028  m-3 and mean free time is 25fs (femtosecond), its approximate resistivity is: me=9.1×10-31kg

 

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The resistivity of a material is found to be 108Ω-m. Then the material would be
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For a conductor, the relation between current density J, conductivity σ and electric field intensity E is.
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The length of germanium rod is 0.925 cm and its area of cross section is 1 mm2. If for germaniun ni= 2.5×1019 m-3,μh=0.19 m2/v-s,μe=0.39 m2/v-s, then the resistance of the rod is
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Consider four conducing materials copper, tungsten, mercury and aluminum with resistivity ρC, ρT, ρM and ρA respectively. Then :
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Two metal wires of identical dimensions are connected in series. If v1 and v2 are the conductivities of the metal wires respectively, the effective conductivity if the combination is:
EASY
Resistivity of iron is 1 × 10-7 Ω m. The resistance of the given wire, of a particular thickness and length, is 1 Ω . If the diameter and length of the wire, both are doubled, the resistivity will be
MEDIUM
In a semiconductor, mobility of electron, i.e. drift velocity per unit applied electric field is 1.6 (S.Ι unit). Density of electron is 1019 m-3 . (Neglect holes concentration). Resistivity of semiconductor is:
MEDIUM
Two wires of same radius having lengths l1 and l2 and resistivities  ρ1 and  ρ2 are connected in series. The equivalent resistivity will be