Electrical Circuits: Exercises and Problems, Exercises of Electronics

Electronics exercise and sheet

Typology: Exercises

2019/2020

Uploaded on 04/03/2022

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Sheet: 1
1. Determine the current flowing through an element if the charge flow is given
by:
(a)
mC 83 ttq
(b)
C 2)48 2t-t(tq
(c)
nC e5e3tq t2-t
(d)
pCt sin10 120tq
(e)
Ct 50cos20 4
t
etq
2. Find the charge q(t) flowing through a device if the current is:
(a)
C10 A,3 qti
(b)
0)0(,mA)52()( qtti
(c)
C 2(0) A,)6/10cos(20)(
qtti
3. The charge entering a certain element is shown in Fig. 1. Find the current at:
(a) t = 1 ms (b) t = 6 ms (c) t = 10 ms
Figure 1.
4. The charge flowing in a wire is plotted in Fig. 2. Sketch the corresponding
current.
Figure 2
pf3
pf4

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Sheet: 1

  1. Determine the current flowing through an element if the charge flow is given by:

(a) q   t   3 t  8  mC

(b) q   t  ( 8 t^2  4 t- 2)C

(c)q  t  3 e-t^  5 e^2 tnC

(d) q   t  10 sin 120 tpC

(e) q   t  20 e ^4 t cos 50 t C

  1. Find the charge q ( t ) flowing through a device if the current is:

(a) i   t  3 A, q   0  1 C

(b) i ( t ) ( 2 t  5 )mA, q ( 0 ) 0

(c) i ( t ) 20 cos( 10 t  / 6 )A, q (0) 2 C

  1. The charge entering a certain element is shown in Fig. 1. Find the current at: (a) t = 1 ms (b) t = 6 ms (c) t = 10 ms

Figure 1.

  1. The charge flowing in a wire is plotted in Fig. 2. Sketch the corresponding current.

Figure 2

  1. A rechargeable flashlight battery is capable of delivering 85 mA for about 12h. How much charge can it release at that rate? If its terminals voltage is 1.2 V, how much energy can the battery deliver?
  2. If the current flowing through an element is given by

 

0,t 15s

  • 12 A, 10 t 15s

18 A, 6 t 10s

3 t A, 0 t 6s

it

Plot the charge stored in the element over 0 < t < 20s.

  1. The current entering the positive terminal of a device is i   t  3 e ^2 t Aand the

voltage across the device is v   t  5 di / dt V.

(a) Find the charge delivered to the device between t = 0 and t = 2 s. (b) Calculate the power absorbed. (c) Determine the energy absorbed in 3 s.

  1. Figure 3 shows the current through and the voltage across a device. Find the total energy absorbed by the device for the period 0 < t < 4 s.

Figure 3

  1. A flashlight battery has a rating of 0.8 ampere-hours (Ah) and a lifetime of 10 hours. (a) How much current can it deliver? (b) How much power can it give if its terminal voltage is 6 V? (c) How much energy is stored in the battery in kWh?
  2. An electric stove with four burners and an oven is used in preparing a meal as follows. Burner 1: 20 minutes Burner 2: 40 minutes Burner 3: 15 minutes Burner 4: 45 minutes Oven: 30 minutes If each burner is rated at 1.2 kW and the oven at 1.8 kW, and electricity costs 12 cents per kWh, calculate the cost of electricity used in preparing the meal.
  3. GPU Energy (the electric power company in New Jersey) charged a consumer $52.75 one month. If the basic service charge is $5.23 and the company charges $0.11 per kWh, how much energy in kWh was used by the consumer?
  4. The graph in Fig. 6 represents the power drawn by an industrial plant between 8:00 and 8:30 A.M. Calculate the total energy in MWh consumed by the plant.

Figure 6

  1. How much energy does a 10-hp motor deliver in 30 minutes? Assume that 1 horsepower = 746 W.