HARD
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What is charge carrier density?

Important Questions on Electric Current, Potential Difference and Resistance

MEDIUM
Though the electron drift velocity is small and electron charge is very small, a conductor can carry an appreciably large current because
EASY

In the figure shown, what is the current (in ampere) drawn from the battery? You are given:
R1=15 Ω , R2=10 Ω , R3=20 Ω , R4=5 Ω, R5=25 Ω, R6=30 Ω, E=15 V
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MEDIUM
A current of 5 A passes through a copper conductor (resistivity =1.7×10-8 Ω m ) of radius of cross-section  5 mm . Find the mobility of the charges if their drift velocity is  1.1×10-3 m s-1 .
EASY
A charged particle having drift velocity of 7.5×104 m s1 in an electric field of 3×1010 V m1, has a mobility in m2 V1 s1 of:
MEDIUM
The resistivity of potentiometer wire is 40×10-8 Ω m and its area of cross-section is 8×10-6 m2. If 0.2 A current is flowing through the wire, the potential gradient of the wire is
EASY
A circuit to verify Ohm's law uses ammeter and voltmeter in series or parallel connected corrected correctly to the resistor. In the circuit :
MEDIUM
To verify Ohm’s law, a student connects the voltmeter across the battery as shown in the figure. The measured voltage is plotted as a function of the current, and the following graph is obtained:
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If Vo is almost zero, identify the correct statement:
EASY

An ideal ammeter is connected to a battery as shown in the figure. The currents through the 5.0 Ω resistor and the 2.0 Ω resistor are, respectively

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EASY
A copper wire with a cross-section area of 2×10-m2 has a free electron density equal to 5×1022 cm-3. If this wire carries a current of 16 A , the drift velocity of the electron is
EASY

In the circuit shown below, a student performing Ohm's law experiment accidentally puts the voltmeter and the ammeter as shown in the circuit below; the reading in the voltmeter will be close to
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MEDIUM
A copper wire of mm2 cross sectional area carries a current of 5 ampere. The magnitude of the drift velocity for the electrons in the wire, (Assume copper to be monovalent, MCu=63.5 kg/mol and density of copper =8920 kg m-3)
EASY

Find the potential difference between a and b, as shown in the below circuit.

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MEDIUM
A steady current flows in a metallic conductor of non-uniform cross section. The quantity/quantities that remains/remain constant along the length of the conductor is/are
HARD
A voltmeter having a resistance of 900 Ω is used to measure the potential difference across a 100 Ω resistor which is connected to a battery of emf 150 V and internal resistance 10 Ω. The percentage of decrease in the potential difference across the 100 Ω resistor when the voltmeter is connected across it is
EASY

I-V characteristic of a copper wire of length L and area of cross-section A is shown in figure. The slope of the curve becomes

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HARD

As shown in the schematic below, a rod of uniform cross-sectional area A and length l is carrying a constant current i through it and voltage across the rod is measured using an ideal voltmeter. The rod is stretched by the application of a force F.

Which of the following graphs would show the variation in the voltage across the rod as function of the strain ε when the strain is small. Neglect Joule heating.

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MEDIUM
The number of free electrons per 100 mm of ordinary copper wire is 2×1021. Average drift speed of electrons is 0.25 mm s-1. The current flowing is
HARD
Suppose the drift velocity vd in a material varied with the applied electric field E as vd E. Then V-I graph for a wire made of such a material is best given by:
HARD
When 5 V potential difference is applied across a wire of length 0.1 m, the drift speed of electrons is 2.5×10-4 m s-1 . If the electron density in the wire is 8×1028 m-3 , the resistivity of the material is close to: