ISRO 2018

Q1 - Electronic Devices and Circuits

🌾Electric field of $1\;V/m$ is applied to a Boron doped Silicon semiconductor slab having doping density of $10^{16}\;atoms/cm^3$ at $300K$ temperature. Determine the approximate resistivity of the slab.

(Consider intrinsic carrier concentration of Silicon at $300K\;=\;1.5×10^{10}/cm^3$ Hole mobility$=500\;cm^2/Vs$ at $300K$; Electron mobility $=1300cm/Vs$ at $300K$)

a) $0.48\;\Omega-cm$

b) $0.35\;\Omega-cm$

c) $0.16\;\Omega-cm$

d) $1.25\;\Omega-cm$

Correct Answer: Option B

Given:

Electric filed $E\;=\;1V/m$

Doping material = Boron (p-type)

Doping concentration $N_A=10^{16}\;atoms\cm^3$

Resistivity $\rho=?$

Solution:

Circuit theory - Basics - Q2

🌾How many electrons are there in one coulomb of electricity?

a) $6.023×10^{23}$

b) $1.64×10^{24}$ 

c) $6.24×10^{18}$ 

d) $1.602×10^{-19}$ 

Correct Answer: Option C
 
Charge of an electron is $-1.602×10^{-19}\;C$.$$1e^-=-1.602×10^{-19}\;C$$ Then $$-1C=\frac{1}{1.602×10^{-19}} e^-$$ Hence $6.24×10^{18}$ number of electrons constitutes one coulomb of negative charge or electricity.

Circuit theory - Basics - Q3

🌾Which of the following amount of electrons is equivalent to $-3.941\;C$  of charge?

a) $1.628×10^{20}$

b) $1.24×10^{18}$

c) $6.482×10^{17}$

d) $2.46×10^{19}$

Correct Answer: Option D

One coulomb of charge equals

$$-1C=6.24×10^{18}\;e^-$$

‘n’ coulombs of charge equals,$$-nC=n×6.24×10^{18}\;e^-$$

Hence, $-3.941\;C$ equals, $$=3.941×6.24×10^{18}\;e^-$$ $$=24.59×10^{18}\;e^-$$ $$=2.459×10^{19}\;e^-$$

Circuit theory - Basics - Q4

🌾Unit of a charge is

a) ampere-second

b) volt

c) coulomb

d) watt

Correct Answer: Option A and C

Unit of charge is coloumb.

Since $I=Q/t$ and $Q=It$, the unit of charge is also ampere-seconds

Circuit theory - Basics - Q5

Tamilnadu TRB $2006$ exam

🌾Which of the following equation is correct?

a) $I=Q×t$

b) $I=Q/t$

c) $Q=I/t$

d) None of these

Correct Answer: Option B

Current flow is nothing but the rate of flow of charge $$I=\frac{Q}{t}$$