The following electronic transistor circuit is analysed by using the DC values of IE, VE and VC which represent the emitter current, emitter voltage and collector voltage respectively. (Assume VBE = 0.7 V, Current gain β = 100) Considering these D.C. voltages, the collector-emitter voltage VCE is close to
11 V
From the figure: VCC = +45 V, voltage-divider bias with R1 = 30 kΩ (to VCC) and R2 = 15 kΩ (to ground), collector resistor RC = 10 kΩ and emitter resistor RE = 7 kΩ (bypassed by 0.5 μF). For DC analysis all capacitors are open circuits.
Thevenin equivalent of the base divider: VTh = 45 × 15/(30 + 15) = 15 V and RTh = 30 kΩ ∥ 15 kΩ = 10 kΩ.
Base current: IB = (VTh – VBE)/[RTh + (β + 1)RE] = 14.3/(10 k + 101 × 7 k) = 14.3/717 k ≈ 19.9 μA.
Emitter current: IE = (β + 1)IB ≈ 2.01 mA, so VE = IERE ≈ 14.1 V; collector current IC = βIB ≈ 1.99 mA.
Collector voltage: VC = 45 – ICRC ≈ 45 – 19.9 ≈ 25.1 V.
Therefore VCE = VC – VE ≈ 25.1 – 14.1 ≈ 11.0 V. (The quick approximation VB ≈ 15 V, VE ≈ 14.3 V, IE ≈ 2.04 mA gives VCE ≈ 10.5 V, also closest to 11 V.)
Hence, the answer is 11 V.
The value of the line integral \(I = \int \vec{A}\cdot d\vec{r}\), where \(\vec{r} = x\hat{i} + y\hat{j}\) and \(\vec{A} = (x+y)\hat{i} + (y-x)\hat{j}\), along the path \(y^{2} = x\) from the point \((1, 1)\) to the point \((4, 2)\) is:
A set \(V\) of complex numbers forms a two-dimensional real vector space under the usual addition of complex numbers and multiplication by real numbers. Let \(T : V \to V\) be a linear transformation defined as \(T(z) = \bar{z}\). Eigenvalues of \(T\) are:
It is given that the residue of the complex function \(\dfrac{e^{1/z}}{z^{n}}\) at an isolated singular point \(z = 0\) is \(\dfrac{1}{9!}\). The value of \(n\) must be equal to:
The Cauchy principal value of the integral \(\displaystyle\int_{-\infty}^{\infty} \dfrac{e^{2ix}\sin x}{x}\,dx\) is:
The function \(f(x) = \exp(2x)\sin(2x)\) can be expanded as the Taylor series:
The inverse Laplace transform of \(\dfrac{2s^{2}}{s^{4}+5s^{2}+4}\) is:
Consider the differential operator \(L=a\dfrac{d^{3}}{dx^{3}}+b\dfrac{d^{2}}{dx^{2}}+c\dfrac{d}{dx}\) acting on the space of functions \(\{u_{i}(x)\mid 1\le x\le 2\}\) satisfying the boundary conditions \(u_{i}(1)=0=u_{i}(2)\). If \(L=L^{\dagger}\), then:
A general solution of the partial differential equation \(\dfrac{\partial^{2} f(x, y)}{\partial x^{2}} - \dfrac{\partial^{2} f(x, y)}{\partial y^{2}} = 0\) can be expressed in terms of arbitrary functions \(u\) and \(v\) as:
The Wronskian of two solutions of the differential equation \(x^{4}\dfrac{d^{2}y(x)}{dx^{2}}-2x^{3}\dfrac{dy(x)}{dx}-x^{8}y(x)=0\) is (up to a multiplicative constant):
Let \(T\) be any \(2 \times 2\) matrix with eigenvalues \(-1, 3\). For each positive integer \(n\), the numbers \(a_n\) and \(b_n\) are such that \(T^{\,n+1} = a_n T + b_n I\), where \(I\) is the \(2 \times 2\) identity matrix. Then \(a_n\) and \(b_n\) satisfy the recurrence relations:
.................... is a client server application that identifies each host on the internet with a unique user-friendly name.
Every OS has a ................ or .......... which primarily resides in the main memory of the computer to perform some of the basic functions of the OS.
(i) Kernel
(ii) Interface
(iii) Nucleus
(iv) Compiler
Codes:
Which of the following are referred to as low level language?
(i) Machine language
(ii) Assembly language
(iii) High level language
(iv) Natural language
Codes:
Match the following:
| List I | List II |
| (a) New York Public Library | (i) Shelv AR |
| (b) Miami University Augmented Research Group | (ii) Smart library |
| (c) Oula University Library | (iii) Wolf Walk |
| (d) North Carolina State University | (iv) Find the future |
Codes:
Which part of the QR code represents the encoded data?