ISRO Scientist or Engineer Electronics May 2017

$$\int_{-\infty}^{\infty} f(t) dt$$

$$\int_{-\infty}^{\infty} \mid {f(t)^{2}} \mid$$ dt

$$\int_{-\infty}^{\infty} \mid t.{f(t)^{2}} \mid$$ dt

$$\int_{-\infty}^{\infty} t.f(t) dt$$

$$F(s) e^{at}$$

F(s − a)

F(s + a)

$$\frac{f(s)}{s}+a$$

$$\frac{E_{0}}{\sqrt{2}} ( \hat{a_{x}}-\hat{a_{y}}) e^{-j \frac{2 \pi \times 10^{4}(x+y)}{5\sqrt{2}}} \frac{V}{m}$$ and $$0.10 \frac{E_{0}}{\sqrt{2}} ( \hat{a_{x}}+\hat{a_{y}}) e^{-j \frac{2 \pi \times 10^{4}(x-y)}{5\sqrt{2}}} \frac{V}{m}$$

$$\frac{E_{0}}{\sqrt{2}} ( \hat{a_{x}}-\hat{a_{y}}) e^{-j \frac{2 \pi \times 10^{4}(x+y)}{5\sqrt{2}}} \frac{V}{m}$$ and $$- 0.10 \frac{E_{0}}{\sqrt{2}} ( \hat{a_{x}}+\hat{a_{y}}) e^{-j \frac{2 \pi \times 10^{4}(x+y)}{5\sqrt{2}}} \frac{V}{m}$$

$$\frac{E_{0}}{\sqrt{2}} ( \hat{a_{x}}+\hat{a_{y}}) e^{-j \frac{2 \pi \times 10^{4}(x+y)}{5\sqrt{2}}} \frac{V}{m}$$ and $$\frac{E_{0}}{\sqrt{2}} ( \hat{a_{x}}-\hat{a_{y}}) e^{-j \frac{2 \pi \times 10^{4}(x+y)}{5\sqrt{2}}} \frac{V}{m}$$

$$\frac{E_{0}}{\sqrt{2}} ( \hat{a_{x}}-\hat{a_{y}}) e^{-j \frac{2 \pi \times 10^{4}(x+y)}{5\sqrt{2}}} \frac{V}{m}$$ and $$\frac{E_{0}}{\sqrt{2}} ( \hat{a_{x}}+\hat{a_{y}}) e^{-j \frac{2 \pi \times 10^{4}(x+y)}{5\sqrt{2}}} \frac{V}{m}$$

TE110

TE011

TM110

TM111

$$\frac{R}{2} \mu_{o} N I_{o} \omega \cos (\omega t)$$

$$\frac{R}{4} \mu_{o} N I_{o} \omega \cos (\omega t)$$

$$\frac{R}{2} \mu_{o} N I_{o} \omega \sin (\omega t)$$

$$\frac{R}{4} \mu_{o} N I_{o} \omega \sin (\omega t)$$

Always zero

London depth of penetration

Skin depth of penetration

Inside Full bulk of material

200 mA

20 mA

20 A

2 mA

15 GHz and 30 GHz

30 GHz and 60 GHz

15 GHz and 15 GHz

30 GHz and 30 GHz

Al

Ag

Au

Cu

$$2 \times 10^{10} \frac{m}{s}$$

$$1.5 \times 10^{10} \frac{m}{s}$$

$$1.85 \times 10^{10} \frac{m}{s}$$

$$1.25 \times 10^{10} \frac{m}{s}$$