Understanding Parallel Circuits in Electronics

Previous Lecture Parallel Circuits 
Resistors in Parallel
Voltage in a Parallel Circuit
Kirchhoff's Current Law
Total Parallel Resistance
Application of Ohm's Law
Current Sources in Parallel
Current Dividers
Power in Parallel Circuits
Parallel Circuit Applications
Problems Solving_Parallel Circuits
Problem related to Resistors in Parallel
Q.1
 
Show how to connect the resistors in the following Figure
in parallel across the battery.
Lecture 10
Problem related to Voltage in a Parallel
Circuit
Q.1
 
What is the voltage across and the current through each
parallel resistor if the total voltage is 12 V and the total
resistance is 550
? There are four resistors, all of equal value.
21.8 mA, 5.45 mA, 2.20K
Problems related to 
Kirchhoff's Current
Law
Q.1
 
There is a total of 500 mA of current into five parallel
resistors. The currents through four of the resistors are 50 mA,
150 mA, 25 mA, and 100 mA. What is the current through the
fifth resistor?
175 mA
Q.2
 
In the circuit of following Figure, determine the resistance
 
R
2
 ,R
3
 , and R
4
 .
 
47 mV, 
22 Ω
, 
100 Ω
, 1.42 mA, 
33 Ω
 
Q.3
 
The electrical circuit in a room has a ceiling lamp that
draws 1.25 A and four wall outlets. Two table lamps that each
draw 0.833 A are plugged into two outlets, and an electric
heater that draws 1OA is connected to the third outlet. When
all of these items are in use, how much current is in the main
line serving the room? If the main line is protected by a 15 A
circuit breaker, how much current can be drawn from the
fourth outlet? Draw a schematic of this wiring.
12.92 A, 2.08 A
Q.4
 
The total resistance of a parallel circuit is 25
. What is
the current through a 220
 resistor that makes up part of the
parallel circuit if the total current is 100 mA?
 
2.5 V, 11.4 mA
Problems related to Total Parallel
Resistance
Q.1
 
What is the total resistance of twelve 6.8k
 resistors in
parallel?
567 Ω
Q.2
 
What is the total resistance between point A and ground
in the following  Figure for the following conditions?
(a) SWI and SW2 open               (b) SWI closed. SW2 open
(c) SWI open, SW2 closed          (d) SWI and SW2 closed
 
510 k
Ω
, 245 k
Ω
, 510 k
Ω
, 193 k
Ω
Problems related to Application of Ohm's
Law
Q.1
 
Four equal-value resistors are connected in parallel. Five
volts are applied across the parallel circuit, and 1.11 mA are
measured from the source. What is the value of each resistor?
4.5 k
Ω
, 18 k
Ω
Q.2
 
Find the values of the unspecified labeled quantities in
the following circuit.
 
50 mA, 
100 Ω
, 
200 Ω
Q.3
 
Find the values of the unspecified labeled quantities in
the following circuit.
 
I
3
=100 mA,  I
2
=147 mA,I
1
=253 mA, R
1
=
395 Ω
Q.4
 
To what minimum value can the 100
 rheostat in the
following Figure be adjusted before the 0.5 A fuse blows?
 
I
1
=.22A, I
2
=.28A, R
2
= 53.7
Q.5
 
Find the values of the unspecified quantities in the
following Figure.
 
I
3
=83.3 mA, I
2
=166.7 mA, I
T
=300 mA, R
1
=2 k
Ω
, R
2
=
600 Ω
Problem related to Current Sources in
Parallel
Q.1
 
Determine the current through R
L
 in each circuit in the
following Figure.
Problems related to Current Dividers
Q.1
 
Determine the current in each branch of the current
dividers of following Figure.
6.88 μ
A, 
3.12 μ
A                       
525 Ω
, 5.25 mA, 2.39 mA, 1.59 mA, 0.772 mA
Q.2
 
What is the current through each resistor in the following
Figure? R is the lowest-value resistor and all others are multiples
of that value as indicated.
 
0.48
R, 
4.8 mA, 2.4 mA, 1.59 mA, 1.2 mA
 
Q.3
 
Determine all of the resistor values in the following
Figure. RT = 773
.
 
773 Ω
, 2.14 mA, 3.3 k
Ω
, 1.8 k
Ω
, 5.6 k
Ω
, 3.9 k
Ω
Problems related to Power in Parallel
Circuits
Q.1
 
Find the values of the unspecified quantities in the
following Figure.
P
1
=1.25 W, Vs=10 V, I
2
= 75 mA, R
2
= 
133 Ω
, I
1
=125 mA,R
1
= 
80 Ω
Q.2
 
A certain parallel circuit consists of only 1/2 W resistors. The
total resistance is 1.0 k
, and the total current is 50 mA. If each
resistor is operating at one-half its maximum power level, determine
the following:
(a) The number of resistors                   (b) The value of each resistor
(c) The current in each branch              (d) The applied voltage
(a)2.5 W, 10, (b) 10 k
Ω
,  (c)5 mA,  (d)50 V
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Explore topics such as resistors in parallel, voltage distribution, Kirchhoff's current law, resistance calculations, and practical applications in parallel circuits. Dive into problem-solving exercises and grasp concepts like current dividers, total resistance calculations, and power distribution in parallel circuits.


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  1. Previous Lecture Parallel Circuits Resistors in Parallel Voltage in a Parallel Circuit Kirchhoff's Current Law Total Parallel Resistance Application of Ohm's Law Current Sources in Parallel Current Dividers Power in Parallel Circuits Parallel Circuit Applications

  2. Lecture 10 Problems Solving_Parallel Circuits Problem related to Resistors in Parallel Q.1 Show how to connect the resistors in the following Figure in parallel across the battery.

  3. Problem related to Voltage in a Parallel Circuit Q.1 What is the voltage across and the current through each parallel resistor if the total voltage is 12 V and the total resistance is 550 ? There are four resistors, all of equal value. 21.8 mA, 5.45 mA, 2.20K

  4. Problems related to Kirchhoff's Current Law Q.1 There is a total of 500 mA of current into five parallel resistors. The currents through four of the resistors are 50 mA, 150 mA, 25 mA, and 100 mA. What is the current through the fifth resistor? 175 mA

  5. Q.2 In the circuit of following Figure, determine the resistance R2 ,R3 , and R4 . 47 mV, 22 , 100 , 1.42 mA, 33

  6. Q.3 The electrical circuit in a room has a ceiling lamp that draws 1.25 A and four wall outlets. Two table lamps that each draw 0.833 A are plugged into two outlets, and an electric heater that draws 1OA is connected to the third outlet. When all of these items are in use, how much current is in the main line serving the room? If the main line is protected by a 15 A circuit breaker, how much current can be drawn from the fourth outlet? Draw a schematic of this wiring. 12.92 A, 2.08 A

  7. Q.4 the current through a 220 resistor that makes up part of the parallel circuit if the total current is 100 mA? The total resistance of a parallel circuit is 25 . What is 2.5 V, 11.4 mA

  8. Problems related to Total Parallel Resistance Q.1 What is the total resistance of twelve 6.8k resistors in parallel? 567

  9. Q.2 in the following Figure for the following conditions? (a) SWI and SW2 open (b) SWI closed. SW2 open (c) SWI open, SW2 closed (d) SWI and SW2 closed What is the total resistance between point A and ground 510 k , 245 k , 510 k , 193 k

  10. Problems related to Application of Ohm's Law Q.1 Four equal-value resistors are connected in parallel. Five volts are applied across the parallel circuit, and 1.11 mA are measured from the source. What is the value of each resistor? 4.5 k , 18 k

  11. Q.2 the following circuit. Find the values of the unspecified labeled quantities in 50 mA, 100 , 200

  12. Q.3 the following circuit. Find the values of the unspecified labeled quantities in I3=100 mA, I2=147 mA,I1=253 mA, R1=395

  13. Q.4 following Figure be adjusted before the 0.5 A fuse blows? To what minimum value can the 100 rheostat in the I1=.22A, I2=.28A, R2= 53.7

  14. Q.5 following Figure. Find the values of the unspecified quantities in the I3=83.3 mA, I2=166.7 mA, IT=300 mA, R1=2 k , R2=600

  15. Problem related to Current Sources in Parallel Q.1 Determine the current through RL in each circuit in the following Figure.

  16. Problems related to Current Dividers Q.1 Determine the current in each branch of the current dividers of following Figure. 6.88 A, 3.12 A 525 , 5.25 mA, 2.39 mA, 1.59 mA, 0.772 mA

  17. Q.2 Figure? R is the lowest-value resistor and all others are multiples of that value as indicated. What is the current through each resistor in the following 0.48R, 4.8 mA, 2.4 mA, 1.59 mA, 1.2 mA

  18. Q.3 Figure. RT = 773 . Determine all of the resistor values in the following 773 , 2.14 mA, 3.3 k , 1.8 k , 5.6 k , 3.9 k

  19. Problems related to Power in Parallel Circuits Q.1 Find the values of the unspecified quantities in the following Figure. P1=1.25 W, Vs=10 V, I2= 75 mA, R2= 133 , I1=125 mA,R1= 80

  20. Q.2 total resistance is 1.0 k , and the total current is 50 mA. If each resistor is operating at one-half its maximum power level, determine the following: (a) The number of resistors (b) The value of each resistor (c) The current in each branch (d) The applied voltage A certain parallel circuit consists of only 1/2 W resistors. The (a)2.5 W, 10, (b) 10 k , (c)5 mA, (d)50 V

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