Tag: potential difference

Questions Related to potential difference

If the strenath of the majestic field produced $10 \mathrm { cm }$ away from a infinitely long straight conductor is $10 ^ { - 5 } \text { weber/m } ^ { 2 }$ the value of the current flowing in the conductor will be:

  1. $5\ ampere$

  2. $10\ ampere$

  3. $500\ ampere$

  4. $1000\ ampere$


Correct Option: A

If current density in a conducting wire is proportional to the distance r from the axis of the conductor, then find magnetic field at the position r<R , where R is the radius of cross section of the conductor.('i'is the current in conducting wire)

  1. $ \frac { \mu _0ir^2 }{2 \pi R^3} $

  2. $ \frac { \mu _0ir^2 }{4 \pi R^3} $

  3. $ \frac { \mu _0ir^2 }{2 \pi R^2} $

  4. $ \frac { \mu _0ir^2 }{2 \pi R^4} $


Correct Option: A

Electric current flows from positive terminal of battery to negative terminal.

  1. True

  2. False


Correct Option: A

Two conducting parallel plates areseparated by a distance of 0.001$\mathrm { m } . \mathrm { A } 9 \mathrm { V }$battery is connected across the plates.Find out the electric field between the plates? 

  1. 9000$\mathrm { V } / \mathrm { m }$

  2. 900$\mathrm { Vim }$

  3. 9$\mathrm { V } / \mathrm { m }$

  4. .9$\mathrm { V } / \mathrm { m }$


Correct Option: A

The number of free electrons passing through the filament of an electric lamp is one hour when the current through the filament is 0.32 A will be 

  1. $3\times { 10 }^{ 22 }$

  2. $2\times { 10 }^{ 26 }$

  3. $7.2\times { 10 }^{ 19 }$

  4. $7.2\times { 10 }^{ 21 }$


Correct Option: D

The current density $ \bar { j }  $ at cross-sectional area $ \bar { A } = (2 \hat {i} + 4 \hat {j} )mm^{-2}$  is $(2 \hat {j} + 2 \hat {k} ) A m^{-2} $ The current following through the cross-sectional area is

  1. $ 12 \mu A $

  2. $ 8 \mu A $

  3. $ 4 \mu A $

  4. zero


Correct Option: B

A flow of $10^{12}$ electrons per minute in a conducting wire constitutes a current of 

  1. $1.6 \times 10^{-7}\, A$

  2. $1.6 \times 10^{-8}\, A$

  3. $2.67 \times 10^{-9}\, A$

  4. `$2.67 \times 10^{-10}\, A$


Correct Option: C

If 1 mole of electrons contains $ 6.02 \times 10^{23} $ electrons, the value of faraday constant, F, in coul/mole is :

  1. $ \frac {96320}{2} $

  2. $ 96320 \times 2 $

  3. 96320

  4. $ 6.6 \times 10^{19} $


Correct Option: A

The number of electrons striking the screen of CR is $7.5\times 10^{15}$ in 10 s. Calculate the electric current

  1. $1.2\times10^{-4}$

  2. $7.5\times10^{-4}$

  3. $1.6\times10^{-4}$

  4. $1.2\times10^{-5}$


Correct Option: A

In a conductor, $6.25\, \times\, 10^{16}$ electrons flow from its end A to B in 2 s. Which is the current flowing through conductor? $(e\, =\, 1.6\, \times\, 10^{-19}\, C)$  

  1. $5 mA$ from B to A.

  2. $5 mA$ from A to B.

  3. $10 mA$ from A to B.

  4. $10 mA$ from B to A.


Correct Option: A
Explanation:

In the question, it is given that the charge of an electron is $e=1.6\times { 10 }^{ -19 }\quad C$.

Therefore, the total charge flowing through the wire in 2 seconds will be given as $6.25\times { 10 }^{ 16 }\times 1.6\times { 10 }^{ -19 }\quad C\quad =10\times { 10 }^{ -3 }\quad C$.

The rate of flow of charge is therefore $\dfrac { 10\times { 10 }^{ -3 } \  C }{ 2  \ seconds\quad  } =5\times { 10 }^{ -3 }\quad C/s$.

one C/s = one amp.

Hence, the current flowing through a conductor is $0.0005 A$, that is $5 mA$.