Electric Resistance and Simple Circuits | Physics JEE previous year questions with Solutions

Q 1 :
The electric current through a wire varies with time as $I = I_{0} + β t$ where $I_{0} = 20 A$ and $β = 3 A / s .$ The amount of electric charge crossed through a section of the wire in 20 sec is [2024]

80 C
1000 C
800 C
1600 C

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2

3

4

(2)

Given that, current $I = I_{0} + β t$

Also, $I_{0} = 20 A$ and $β = 3 A / s$

Hence, $d q / d t = 20 + 3 t \Rightarrow d q = (20 + 3 t) d t$

$\int_{0}^{q} d q = \int_{0}^{20} (20 + 3 t) d t$

$\Rightarrow q = {[20 t + \frac{3 t^{2}}{2}]}_{0}^{20} = 1000 C$

Q 2 :
The current in a conductor is expressed as $I = 3 t^{2} + 4 t^{3}$ , where $I$ is in Ampere and $t$ is in second. The amount of electric charge that flows through a section of the conductor during $t = 1 s$ to $t = 2 s$ is _________ C. [2024]

0%

(22) $I = 3 t^{2} + 4 t^{3}$

$\int d Q = \int I d t$

$Q = \int_{1}^{2} (3 t^{2} + 4 t^{3}) d t$

$= {[t^{3} + t^{4}]}_{1}^{2}$

$= (8 + 16) - (2) = 22 C$

Q 3 :
Which of the following resistivity ( $ρ$ ) v/s temperature (T) curve is most suitable to be used in wire bound standard resistors? [2025]

1

2

3

4

(1)

For bound standard resistors the resistivity is independent of temperature and remain nearly constant.

Q 4 :
The difference of temperature in a material can convert heat energy into electrical energy. To harvest the heat energy, the material should have [2025]

low thermal conductivity and low electrical conductivity
high thermal conductivity and high electrical conductivity
low thermal conductivity and high electrical conductivity
high thermal conductivity and low electrical conductivity

1

2

3

4

(3)

Material should have low thermal conductivity and high electrical conductivity.

Q 5 :
Current passing through a wire as function of time is given as $I$ (t) = 0.02 t + 0.01 A. The charge that will flow through the wire from t = 1s to t = 2s is: [2025]

0.06 C
0.02 C
0.07 C
0.04 C

1

2

3

4

(4)

$q = \int i d t = \int_{1}^{2} (0.02 t + 0.01) d t$

$q = {[0.02 \frac{t^{2}}{2} + 0.01 t]}_{1}^{2}$

$= \frac{0.02}{2} \times (2^{2} - 1^{2}) + 0.01 \times 1 = 0.04 C$

Topic Question Set

Q 1 :
The electric current through a wire varies with time as $I = I_{0} + β t$ where $I_{0} = 20 A$ and $β = 3 A / s .$ The amount of electric charge crossed through a section of the wire in 20 sec is [2024]

Q 2 :
The current in a conductor is expressed as $I = 3 t^{2} + 4 t^{3}$ , where $I$ is in Ampere and $t$ is in second. The amount of electric charge that flows through a section of the conductor during $t = 1 s$ to $t = 2 s$ is _________ C. [2024]

0%

Q 3 :
Which of the following resistivity ( $ρ$ ) v/s temperature (T) curve is most suitable to be used in wire bound standard resistors? [2025]

Q 4 :
The difference of temperature in a material can convert heat energy into electrical energy. To harvest the heat energy, the material should have [2025]

Q 5 :
Current passing through a wire as function of time is given as $I$ (t) = 0.02 t + 0.01 A. The charge that will flow through the wire from t = 1s to t = 2s is: [2025]

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Topic Question Set

Q 1 : The electric current through a wire varies with time as I=I0+βt where I0=20A and β=3A/s. The amount of electric charge crossed through a section of the wire in 20 sec is [2024]

Q 2 : The current in a conductor is expressed as I=3t2+4t3, where I is in Ampere and t is in second. The amount of electric charge that flows through a section of the conductor during t=1s to t=2s is _________ C. [2024]

0%

Q 3 : Which of the following resistivity (ρ) v/s temperature (T) curve is most suitable to be used in wire bound standard resistors? [2025]

Q 4 : The difference of temperature in a material can convert heat energy into electrical energy. To harvest the heat energy, the material should have [2025]

Q 5 : Current passing through a wire as function of time is given as I(t) = 0.02 t + 0.01 A. The charge that will flow through the wire from t = 1s to t = 2s is: [2025]

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Q 1 :
The electric current through a wire varies with time as $I = I_{0} + β t$ where $I_{0} = 20 A$ and $β = 3 A / s .$ The amount of electric charge crossed through a section of the wire in 20 sec is [2024]

Q 2 :
The current in a conductor is expressed as $I = 3 t^{2} + 4 t^{3}$ , where $I$ is in Ampere and $t$ is in second. The amount of electric charge that flows through a section of the conductor during $t = 1 s$ to $t = 2 s$ is _________ C. [2024]

Q 3 :
Which of the following resistivity ( $ρ$ ) v/s temperature (T) curve is most suitable to be used in wire bound standard resistors? [2025]

Q 4 :
The difference of temperature in a material can convert heat energy into electrical energy. To harvest the heat energy, the material should have [2025]

Q 5 :
Current passing through a wire as function of time is given as $I$ (t) = 0.02 t + 0.01 A. The charge that will flow through the wire from t = 1s to t = 2s is: [2025]