Electric Current
PHXII03:CURRENT ELECTRICITY

357098 The quantity of charge \(q\) (in Coulomb) that has passed through a surface area \(2\,c{m^2}\) varies with time according to the equation \(q = 4{t^2} + 5t + 6\), where ‘\(t\)’ is in seconds. The instantaneous current through the surface at \(t = 1\sec \)

1 \(30A\)
2 \(15A\)
3 \(9.83A\)
4 \(13A\)
PHXII03:CURRENT ELECTRICITY

357099 The electric current flowing through a given conductor varies with time as shown in the graph below. The number of free electrons which flow through a given cross-section of the conductor in the time interval \({0 \leq t \leq 20 {~s}}\) is
supporting img

1 \({3.125 \times 10^{19}}\)
2 \({1.6 \times 10^{19}}\)
3 \({6.25 \times 10^{18}}\)
4 \({1.625 \times 10^{18}}\)
PHXII03:CURRENT ELECTRICITY

357100 The charge flowing in a conductor changes with time as \(Q(t)=\alpha t-\beta t^{2}+\gamma t^{3}\). Where \(\alpha, \beta\) and \(\gamma\) are constants. Minimum value of current is

1 \(\alpha-\dfrac{3 \beta^{2}}{\gamma}\)
2 \(\alpha-\dfrac{\gamma^{2}}{3 \beta}\)
3 \(\alpha-\dfrac{\beta^{2}}{3 \gamma}\)
4 \(\beta-\dfrac{\alpha^{2}}{3 \gamma}\)
PHXII03:CURRENT ELECTRICITY

357101 In a hydrogen discharge tube, it is observed that through a given cross-section \(3.31 \times 10^{15}\) electrons are moving from right to left and \(3.12 \times 10^{15}\) protons are moving from left to right. The current in the discharge tube and its direction will be

1 \(2\;mA\), towards left
2 \(2\;mA\), towards right
3 \(1\;mA\), towards right
4 \(1\;mA\), towards left
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PHXII03:CURRENT ELECTRICITY

357098 The quantity of charge \(q\) (in Coulomb) that has passed through a surface area \(2\,c{m^2}\) varies with time according to the equation \(q = 4{t^2} + 5t + 6\), where ‘\(t\)’ is in seconds. The instantaneous current through the surface at \(t = 1\sec \)

1 \(30A\)
2 \(15A\)
3 \(9.83A\)
4 \(13A\)
PHXII03:CURRENT ELECTRICITY

357099 The electric current flowing through a given conductor varies with time as shown in the graph below. The number of free electrons which flow through a given cross-section of the conductor in the time interval \({0 \leq t \leq 20 {~s}}\) is
supporting img

1 \({3.125 \times 10^{19}}\)
2 \({1.6 \times 10^{19}}\)
3 \({6.25 \times 10^{18}}\)
4 \({1.625 \times 10^{18}}\)
PHXII03:CURRENT ELECTRICITY

357100 The charge flowing in a conductor changes with time as \(Q(t)=\alpha t-\beta t^{2}+\gamma t^{3}\). Where \(\alpha, \beta\) and \(\gamma\) are constants. Minimum value of current is

1 \(\alpha-\dfrac{3 \beta^{2}}{\gamma}\)
2 \(\alpha-\dfrac{\gamma^{2}}{3 \beta}\)
3 \(\alpha-\dfrac{\beta^{2}}{3 \gamma}\)
4 \(\beta-\dfrac{\alpha^{2}}{3 \gamma}\)
PHXII03:CURRENT ELECTRICITY

357101 In a hydrogen discharge tube, it is observed that through a given cross-section \(3.31 \times 10^{15}\) electrons are moving from right to left and \(3.12 \times 10^{15}\) protons are moving from left to right. The current in the discharge tube and its direction will be

1 \(2\;mA\), towards left
2 \(2\;mA\), towards right
3 \(1\;mA\), towards right
4 \(1\;mA\), towards left
PHXII03:CURRENT ELECTRICITY

357098 The quantity of charge \(q\) (in Coulomb) that has passed through a surface area \(2\,c{m^2}\) varies with time according to the equation \(q = 4{t^2} + 5t + 6\), where ‘\(t\)’ is in seconds. The instantaneous current through the surface at \(t = 1\sec \)

1 \(30A\)
2 \(15A\)
3 \(9.83A\)
4 \(13A\)
PHXII03:CURRENT ELECTRICITY

357099 The electric current flowing through a given conductor varies with time as shown in the graph below. The number of free electrons which flow through a given cross-section of the conductor in the time interval \({0 \leq t \leq 20 {~s}}\) is
supporting img

1 \({3.125 \times 10^{19}}\)
2 \({1.6 \times 10^{19}}\)
3 \({6.25 \times 10^{18}}\)
4 \({1.625 \times 10^{18}}\)
PHXII03:CURRENT ELECTRICITY

357100 The charge flowing in a conductor changes with time as \(Q(t)=\alpha t-\beta t^{2}+\gamma t^{3}\). Where \(\alpha, \beta\) and \(\gamma\) are constants. Minimum value of current is

1 \(\alpha-\dfrac{3 \beta^{2}}{\gamma}\)
2 \(\alpha-\dfrac{\gamma^{2}}{3 \beta}\)
3 \(\alpha-\dfrac{\beta^{2}}{3 \gamma}\)
4 \(\beta-\dfrac{\alpha^{2}}{3 \gamma}\)
PHXII03:CURRENT ELECTRICITY

357101 In a hydrogen discharge tube, it is observed that through a given cross-section \(3.31 \times 10^{15}\) electrons are moving from right to left and \(3.12 \times 10^{15}\) protons are moving from left to right. The current in the discharge tube and its direction will be

1 \(2\;mA\), towards left
2 \(2\;mA\), towards right
3 \(1\;mA\), towards right
4 \(1\;mA\), towards left
PHXII03:CURRENT ELECTRICITY

357098 The quantity of charge \(q\) (in Coulomb) that has passed through a surface area \(2\,c{m^2}\) varies with time according to the equation \(q = 4{t^2} + 5t + 6\), where ‘\(t\)’ is in seconds. The instantaneous current through the surface at \(t = 1\sec \)

1 \(30A\)
2 \(15A\)
3 \(9.83A\)
4 \(13A\)
PHXII03:CURRENT ELECTRICITY

357099 The electric current flowing through a given conductor varies with time as shown in the graph below. The number of free electrons which flow through a given cross-section of the conductor in the time interval \({0 \leq t \leq 20 {~s}}\) is
supporting img

1 \({3.125 \times 10^{19}}\)
2 \({1.6 \times 10^{19}}\)
3 \({6.25 \times 10^{18}}\)
4 \({1.625 \times 10^{18}}\)
PHXII03:CURRENT ELECTRICITY

357100 The charge flowing in a conductor changes with time as \(Q(t)=\alpha t-\beta t^{2}+\gamma t^{3}\). Where \(\alpha, \beta\) and \(\gamma\) are constants. Minimum value of current is

1 \(\alpha-\dfrac{3 \beta^{2}}{\gamma}\)
2 \(\alpha-\dfrac{\gamma^{2}}{3 \beta}\)
3 \(\alpha-\dfrac{\beta^{2}}{3 \gamma}\)
4 \(\beta-\dfrac{\alpha^{2}}{3 \gamma}\)
PHXII03:CURRENT ELECTRICITY

357101 In a hydrogen discharge tube, it is observed that through a given cross-section \(3.31 \times 10^{15}\) electrons are moving from right to left and \(3.12 \times 10^{15}\) protons are moving from left to right. The current in the discharge tube and its direction will be

1 \(2\;mA\), towards left
2 \(2\;mA\), towards right
3 \(1\;mA\), towards right
4 \(1\;mA\), towards left