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Ift 394 Paper

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Submitted By UsmanH
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Homework 1: Logarithm Practice
IFT 394
1.

Calculate: Show the answer in dB and decimal

(a)

(b)

20 dBW + 5 dB = 25dBW; 316W

(c)

22 dB - 4 dB = 18dB; 63.1 mW

(d)

2.

60 dB + 25 dB = 85dB

13 dBW - 7 dBm (Be careful)

Convert:

(a)

65 W into dBW 10log(65) = 18 dB

(b)

10 dBW into watts = 10W

(c)

– 5 dBW into watts = 0.0316

(d)

-15 dBm into watts = 0.000032W

(e)

-40 dBm into dBW = -70dBW

!1

(f)

-80 dBW into dBm = -50dBm

(g)

log2 (64) = 6

(h)

log2 (1000) =10

(i)

log2 (496) = 9

3. A three-stage amplifier is shown with power gains. Calculate total power gain in decibels, and as a number.
Ap = AP1 * AP2 * AP3 = 10 * 25 * 30
A = 7500
20log(Ap) = 77.501dB

AP1 = 10

AP2 = 25

AP3 = 30

4.
(a)

(b)

Determine the overall power gain.
i. Ap = Ap1 * Ap2 * Ap3 = 10 * 10 * 20

Ap = 2000

Find the output power if Pin = 15 mW
i. Ap = (Po/Pi) = 2000 ==> (Po/15*10-3) = 2000 ii. Answer: Po = 30W : Output power

!2

AP1 = 10

AP2 = 10

AP3 = 20

5. If Pin = -20 dBm, determine the output power in dBm and watts.
Pin = -20dB
(Pin)dB = 20logPin = -20
Pin = 0.1
20log(Ap1) => Ap1 = 4.46
20log(Ap2) = 16dB => Ap2 = 6.309
20log(Ap3) = -6dB => Ap3 = +0.501
Ap = Ap1 * Ap2 * Ap3 = 4.46 * 6.309 *0.501
Ap = 14.102
Po = 1.4102
AP1 = 13 dB

AP2 = 16 dB

!3

AP3 = -6 dB

6. Determine:
(a)

Net gain

(b)

Net gain in dBs

(c)

Power output

PS = 0.1W
AP2

AP1

1

L = 2000

RL
AP2 = 500

AP1 = 400

0

!

A. Net Gain = 100
B. Net gain in dBs = 20dB
C. Power output = 10dbW or 10W

7. Determine:
(a)

Net gain

(b)

Net gain in dBs

(c)

Power output

PS = -8 dBm
AP2

AP1

1

L = 24 dB
AP1 = 32 dB

RL
AP2 = 28 dB
!

0

!4

A. Net gain = 36dB = 3981
B. Net gain in dBs = 36dB
C. Power Output = 631mW

!5

IFT 394 Paper

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