MCQ
The mean value of current for half cycle for a current variation shown by the graph is
- ✓$\frac{i_0}{2}$
- B$i_0$
- C$\frac{i_0}{\sqrt{3}}$
- D$\frac{i_0}{3}$
✓
Answer
Correct option: A.
$\frac{i_0}{2}$
a
(a)
(a)
$l_{\max }=\frac{\int \limits_0^{T / 2} / d t}{T / 2}$
From 0 to $\frac{T}{2}$ graph is straight line so the function $(l)$ will be $=\frac{i_0}{(T / 2)} t=\frac{2 i_0}{T} t$
$\text { So }$
$l_{\text {mean }}=\frac{2}{T} \int \limits_0^{T / 2} \frac{2 i_0}{T} t d t=\frac{2}{T}\left(\frac{2}{T}\right) i_0\left(\frac{t^2}{2}\right)_0^{T / 2}$
$=\frac{4}{T^2} i_0\left(\frac{1}{2}\right)\left(\frac{T^2}{4}-0\right)=\frac{i_0}{2}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
No bias is applied to a P-N junction, then the current
Assertion : The resistivity of a semiconductor increases with temperature.
Reason : The atoms of a semiconductor vibrate with larger amplitude at higher temperature there by increasing it's resistivity.
Reason : The atoms of a semiconductor vibrate with larger amplitude at higher temperature there by increasing it's resistivity.
In given $LCR$ circuit, the voltage across the terminals of a resistance and current will be
→The resistivity of a wire varies with:
A particle moving in a magnetic field increases its velocity, then its radius of the circle
Two identical conducing spheres having unequal positive charges $q_1$ and $q_2$ separated by distance $r$. If they are made to touch each other and then separated again to the same distance. The electrostatic force between the spheres in this case will be (neglect induction of charges)
→At which place, earth's magnetism become horizontal
$10\,Cells$, each of emf $'E'$ and internal resistance $'r'$, are connected in series to a variable external resistance. Figure shows the variation of terminal potential difference of their combination with the current drawn from the combination.$Emf$ of each cell is ............. $V$
→In a step up transformer, $220 \,V$ is converted into $200\,V$. The number of turns in primary coil is $600$. What is the number of turns in the secondary coil
→Given below are two statements:
→Statement $I :$ Maximum power is dissipated in a circuit containing an inductor, a capacitor and a resistor connected in series with an $AC$ source, when resonance occurs
Statement $II :$ Maximum power is dissipated in a circuit containing pure resistor due to zero phase difference between current and voltage.
In the light of the above statements, choose the correct answer from the options given below :