Question
What is the rms value of alternating current shown in figure?
✓
Answer
$(\text{I}^2)_{\text{mean}}=\frac{\int\limits^{\text{T}}_{0}\text{I}^2\text{dt}}{\int\text{dt}}=\frac{\int\limits^{\frac{\text{T}}{2}}_0(2)^2\text{dt}+\int\limits^{\text{T}}_{\frac{\text{T}}{2}}(-2)^2\text{dt}}{\text{T}}=\frac{\int\limits^{\text{T}}_04\text{dt}}{\text{T}}=4$
$\text{I}_{\text{rms}}=\sqrt{4}=2\text{A}$
$\text{I}_{\text{rms}}=\sqrt{4}=2\text{A}$
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
The capacitance of a parallel plate air capacitor is $8 \mu F$. The distance between its plates is halved and the space between the plates is filled with a medium having dielectric constant 5 . Find the capacitance of the capacitor in the second case.
→The apparent weight of an object increases in an elevator while accelerating upward. A moongphaliwala sells his moongphali using a beam balance in an elevator. Will he gain more if the elevator is accelerating up?
Define the ionisation energy. What is the value of it for hydrogen atom?
Provide the comparison (analogy) between Electro Statics and Magnetism.
A block of mass m is kept on a horizontal table. If the static friction coefficient is $\mu,$ find the frictional force acting on the block.
→Find the dimensions of:
→- Angular speed $\omega.$
- Angular acceleration $\alpha.$
- Torque $\tau$ and
- Moment of interia I.
$\omega=\frac{\theta_2-\theta_1}{\text{t}_2-\text{t}_1},\alpha=\frac{\omega_2-\omega_1}{\text{t}_2-\text{t}_1},\tau=\text{F.r}$ and $\text{I = mr}^2.$
The symbols have standard meanings.
A semicircular wire of radius 5.0cm carries a current of 5.0A. A magnetic field B of magnitude 0.50T exists along the perpendicular to the plane of the wire. Find the magnitude of the magnetic force acting on the wire.
Explain the photoelectric effect when the radiation is incident on different metals?
A pivoted aluminium bar falls much more slowly through a small region containing a magnetic field than a similar bar of an insulating material. Explain.
Two unequal resistances R1 and R2 are connected across two identical batteries of emf $\varepsilon$ and internal resistance r. Can the thermal energies developed in R1 and R2 be equal in a given time. If yes, what will be the condition?
→