1
GATE EE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Match the following. GATE EE 2015 Set 2 Electromagnetic Fields - Electrostatics Question 40 English
A
$$\begin{array}{l}P\;\;\;\;Q\;\;\;\;R\;\;\;\;S\\2\;\;\;\;\;1\;\;\;\;\;4\;\;\;\;\;3\end{array}$$
B
$$\begin{array}{l}P\;\;\;\;Q\;\;\;\;R\;\;\;\;S\\4\;\;\;\;\;3\;\;\;\;\;1\;\;\;\;\;2\end{array}$$
C
$$\begin{array}{l}P\;\;\;\;Q\;\;\;\;R\;\;\;\;S\\3\;\;\;\;\;4\;\;\;\;\;2\;\;\;\;\;1\end{array}$$
D
$$\begin{array}{l}P\;\;\;\;Q\;\;\;\;R\;\;\;\;S\\4\;\;\;\;\;1\;\;\;\;\;3\;\;\;\;\;2\end{array}$$
2
GATE EE 2015 Set 2
Numerical
+1
-0
A circular turn of radius 1 m revolves at 60 rpm about its diameter aligned with the x-axis as shown in the figure. The value of μ0 is $$4\mathrm\pi\times10^{-7}$$ in SI unit. If a uniform magnetic field intensity $$\overrightarrow H=10^7\;\widehat z\;A/m$$ is applied, then the peak value of the induced voltage, Vturn ( in Volts), is _________. GATE EE 2015 Set 2 Electromagnetic Fields - Time Varying Fields Question 11 English
Your input ____
3
GATE EE 2015 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Two semi-infinite conducting sheets are placed at right angles to each other as shown in the figure. A point charge of +𝑄 is placed at a distance of 𝑑 from both sheets. The net force on the charge is $$\frac{Q^2}{4{\mathrm{πε}}_0}\frac{\overrightarrow K}{d^2}$$ , where $$\overrightarrow K$$ is given by GATE EE 2015 Set 2 Electromagnetic Fields - Electrostatics Question 34 English
A
0
B
$$-\frac14\widehat i\;-\frac14\widehat j$$
C
$$-\frac18\widehat i\;-\frac18\widehat j$$
D
$$\frac{1-2\sqrt2}{8\sqrt2}\widehat i\;+\frac{1-2\sqrt2}{8\sqrt2}\widehat j$$
4
GATE EE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Given $$f\left( z \right) = g\left( z \right) + h\left( z \right),$$ where $$f,g,h$$ are complex valued functions of a complex variable $$z.$$ Which ONE of the following statements is TRUE?
A
If $$f(z)$$ is differentiable at $${z_0},$$ then $$g(z)$$ & $$h(z)$$ are also differentiable at $${z_0}.$$
B
If $$g(z)$$ & $$h(z)$$ are differentiable at $${z_0},$$ then $$f(z)$$ is also differentiable at $${z_0}.$$
C
If $$f(z)$$ is continuous at $${z_0},$$ then it is differentiable at $${z_0}.$$
D
If $$f(z)$$ is differentiable at $${z_0},$$ then so are its real and imaginary parts.