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Kiprono Edmond

Kiprono E.

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INSTANT ANSWER

5. a) (i) By indicating the flow of carriers in a diagram and explaining each step, derive the expression of conductivity (o) of an intrinsic semiconductor in terms of mobility (µ). (10 marks)(ii) As in (a) above, derive the expression of conductivity of N and P types of semiconductors. (6 marks)b) What is the resistivity of an intrinsic germanium semiconductor at 300 ^ 6 * k given that a = 1.6 * 10 ^ - 19 * c n_{0} = 2.5 * 10 ^ 13 mu_{n} = 3600 and mu_{0} = 1700 (4 marks)

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INSTANT ANSWER

The diagram in figure 3 shows a simplified transistor circuit with a few discrete components. Vcc RB RL C1 C2 IB Vout Vin RE Fig. 3You are given that RB = 1.8 MΩ, RL = 4.7 kΩ, RE = 1 kΩ, C1 = C2 = 10μF and VCC = 15V.(i) How are voltage Vout and current IB are developed. (ii) Why are capacitors C1 and C2 included in the circuit? (iii) Write the load line equation for the circuit in figure 2. (iv) If VCE = 7.5V and αE = 50, calculate IC and IB. (2 marks)

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INSTANT ANSWER

a) State and verify Green's theorem in the plane for oint (3x ^ 2 - 8y ^ 2) * dx + (4y - 6xy) * dy where c is the boundary of the region bounded by x >= 0 y <= 0 and 2x - 3y = 6 (18mks) b) vec a = i + 2j - k and vec b = 3i + j + 2k find the angle between a and 6. (2mks) 3

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INSTANT ANSWER

A fair coin is tossed repeatedly. The probability that the first head occurs on the n th toss is given by P ∞n=1 1 2  n , n ≥ 1. i. Show that P ∞n=1 1 2  n = 1 ii. The expected number of tosses required until the first head occurs in the experiment is given by P ∞n=1 n 1 2  n . Is this series geometric? 5. Is it possible for a sequence to converge to two different numbers? If so, give an example. If not, explain why not.

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INSTANT ANSWER

1. Show that the set {a, b, c, d} × Q2 is countable

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INSTANT ANSWER

Consider the sequence (An) whose n th−term is given by An = P 1 + r 12  n where P is the principal, An is the account balance after n months and r is the interest rate compounded annually. i. Is (An) a convergent sequence? Explain. ii. Find the first 5 terms of the sequence if P = Ksh.10, 000 and r = 0.055

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INSTANT ANSWER

By drawing a circuit of an op-amp as an integrator, and showing the directions of the currents, prove that the output voltage V0 and the input voltage Vs of the circuit are related as: V0 = -(1/RC)∫ Vsdt (3 marks)

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INSTANT ANSWER

The diagram in figure 3 shows a simplified transistor circuit with a few discrete components. Vcc RB RL C1 C2 IB Vout Vin RE Fig. 3 You are given that RB = 1.8 MΩ, RL = 4.7 kΩ, RE = 1 kΩ, C1 = C2 = 10μF and VCC = 15V. (i) How are voltage Vout and current IB are developed. (ii) Why are capacitors C1 and C2 included in the circuit? (iii) Write the load line equation for the circuit in figure 2. (iv) If VCE = 7.5V and αE = 50, calculate IC and IB. (2 marks) c) i) In a PNP bipolar transistor, what happens if the base region was made extra wide ( i.e much wider than the diffusion length of holes). (ii) Describe how such a device would operate and comment on the current flow.

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INSTANT ANSWER

Explain Hall Effect?

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ANSWERED

Timothy James verified

Numerade educator

A particle of mass 4 units moves in a force field depending on time t given by F = 24t ^ 2 * i + 6tj - 12tk Assuming that at t = 0 , the particle is located at r_{0} = - 2j and has a velocity v_{0} = 6i Find at any time t: (i) Velocity (ii) Position (iii) Torque (iv) Angular momentum

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