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A $150 m$ long metal wire connects points $A$ and $B$ . The electric potential at point $B$ is $50 V$ less than that at point $A$ . If the conductivity of the metal is $60 \times 10^{6} mho m^{- 1}$ , then the magnitude of the current density in the wire is equal to:

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Important Questions on Electric Current and Circuits

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Electrostatics and Current Electricity JEE Main & Advanced>Chapter 5 - Electric Current and Circuits>DPP>Q 1

First, a set of

n

equal resistors of

R

each is connected in series to a battery of emf

E

and internal resistance

R

. A current

I

is observed to flow. Then, the

n

resistors are connected in parallel to the same battery. It is observed that the current is increased

10

times. What is

n

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Chapterwise/Topicwise Daily Practice Problems (DPP) Electrostatics and Current Electricity JEE Main & Advanced>Chapter 5 - Electric Current and Circuits>DPP>Q 2

Suppose there is a circuit consisting of only resistances and batteries. Suppose one is to double (or increase it to

n

times) all voltages and all resistances. Show that currents are unaltered.

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Chapterwise/Topicwise Daily Practice Problems (DPP) Electrostatics and Current Electricity JEE Main & Advanced>Chapter 5 - Electric Current and Circuits>DPP>Q 3

Find the equivalent resistance between terminals $A$ and $B$ . Each resistor is of resistance $R$ .

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JEE Main

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Chapterwise/Topicwise Daily Practice Problems (DPP) Electrostatics and Current Electricity JEE Main & Advanced>Chapter 5 - Electric Current and Circuits>DPP>Q 4

Find the equivalent resistance between $A$ and $B$ in the arrangement of resistances as shown.

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JEE Main

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Chapterwise/Topicwise Daily Practice Problems (DPP) Electrostatics and Current Electricity JEE Main & Advanced>Chapter 5 - Electric Current and Circuits>DPP>Q 5

The two ends of a uniform conductor are joined to a cell of emf

E

and some internal resistances. Starting from the midpoint

P

of the conductor, we move in the direction of current and return to

P

. The potential

V

at every point on the path is plotted against the distance covered

(x)

Which of the following graphs best represents the resulting curve?

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Chapterwise/Topicwise Daily Practice Problems (DPP) Electrostatics and Current Electricity JEE Main & Advanced>Chapter 5 - Electric Current and Circuits>DPP>Q 6

$V - i$ graphs for parallel and series combination of two identical resistors are as shown in the figure. Which graph represents parallel combination?

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JEE Main

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Chapterwise/Topicwise Daily Practice Problems (DPP) Electrostatics and Current Electricity JEE Main & Advanced>Chapter 5 - Electric Current and Circuits>DPP>Q 7

If each resistance in the figure is of $9 Ω$ , then reading of Ammeter is

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Electrostatics and Current Electricity JEE Main & Advanced>Chapter 5 - Electric Current and Circuits>DPP>Q 8

Two resistors of resistance

R_{1}

and

R_{2}

having

R_{1} > R_{2}

are connected in parallel. For equivalent resistance

R

, the correct statement is

A 150 m long metal wire connects points A and B. The electric potential at point B is 50 V less than that at point A. If the conductivity of the metal is 60×106 mho m-1, then the magnitude of the current density in the wire is equal to:

Important Questions on Electric Current and Circuits

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A $150 m$ long metal wire connects points $A$ and $B$ . The electric potential at point $B$ is $50 V$ less than that at point $A$ . If the conductivity of the metal is $60 \times 10^{6} mho m^{- 1}$ , then the magnitude of the current density in the wire is equal to: