Example Parallel Circuit

Posted by Justin B. Engelhardt in Example
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Example Parallel Circuit

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Electric currents 12.7 CIRCUIT CALCULATIONS The aim of this section is to give help with the solving of numerical questions about electric circuits. Before starting on this work, refresh your memory about series and parallel connection of conductors (p 224). Then read through this section following the worked examples and trying the selected questions at each stage. There is a pattern or system in the way many circuit problems are solved and it is vital to understand the correct Since, in the example shown in figure 513, the total current is known, the total power could be determined by the following method: Pt= EbbXIt Pt= 50vx 8a Pt= 4UOW #5» RI Q R2 0 R3' Tsov son .0 zsn N son 3 r I1'*Bd BE.94 Figure 513.—Example parallel

circuit..Rules for solving parallel dc circuits are as follows: 1. The same voltage exists across each branch of a parallel circuit and is equal to the source voltage. 2. The current through abranch ofaparallel network is inversely Ebb. RI. 0. R2. R3'. 50v. 10:1 .0. 251i. 3. son. e. IT=BQ . BE.94 Figure 5l3.Example parallel circuit. Rules for solving parallel dc circuits are as follows: 1. The same voltage exists across each branch of a parallel circuit and is equal to the source voltage. 2. The current through abranch ofaparallel network is inversely Then the remaining voltages and currents of the original circuit can be found. As previously shown, the total resistance of the resistive series circuit of Figure 1 112 is found

by.the following equation Figure 1112 Resistive series circuit a • Rl f R25 R3 Figure 1113 Parallel resistive circuit 3k | 6 k Figure ll14(a) Example problem where the combined resistance could be written as Rf total resistance of the circuit Rat, resistance between nodes a and b /?i_3 combined resistance of Rl Examples of Parallel Circuits :3 'll 1" I ~ ll. vvv FIGURE 321 Example of a parallel circuit. 10V 'Ill All I' E; :3 1 1A ,.__I 1A4“ 4.' iRt 1'=l~_£.V_=1A L_.. (a) R2 iorz {109 17:11 H1 =1A+1A =2A 10V; 11."51 (b) _Lrmh'fli'i lffilflu = : FIGURE 322 Current flow in a parallel circuit. (a) One path. (b) Two paths. Parallel circuits have more than one current path connected to the same

voltage.source. An example of a parallel circuit is shown in Fig. 321. Start at the voltage source (VT) and look at the IAtT W»T TO SOLVC MMIMI UWOUWC VOLT • C «UF • X WATT □ w OHM □ R Figure 7.19 OHM'S LAWS OF SERIES AND PARALLEL CIRCUITS This series of problems is included to mathematically show and explain the behavior of electricity when electrical devices are wired into a circuit in series among the resistance. Figure 7.21. A series circuit. Example (Parallel Circuit) The motor nameplate shows that it is a 1 20/240 V motor. Terminal connections are for 120 V, as shown.This formula is called "the reciprocal of the sum of the reciprocals" and is the one normally used to solve for the equivalent resistance

of.a number of parallel resistors. Example. Given three parallel resistors of 20 ohms, 30 ohms, and 40 ohms; find the equivalent resistance using the reciprocal equation. (See fig. 511.) BE. 92 Figure 5 11. —Example parallel circuit with unequal branch resistors. Solution: Select the proper equation: 1 Substitute: Find LCD: Rl R2 R3 1 leq L+ L_+ L 20 30 The circuits shown in Figures 9.25−9.27 are simply representative examples of seriesparallel circuits. In Figure 9.25, there are two resistors in series in the upper branch, which is in parallel with a third resistor in the lower branch. In Figure 9.26, there are two resistors in parallel with each other and this combination is in series with a third resistor. In Figure 9.27 we

have.two resistors in parallel with each other; this combination is in series with a third (forming the upper branch), and this SeriesParallel Circuit Measurement In this section, the exercise is designed to explain the use of the multimeter in measuring current and voltage in a seriesparallel circuit. Seriesparallel circuits are found in vehicles, such as in dashboard light dimmer circuits, although they are not as common as parallel circuits. Typically, a seriesparallel circuit occurs when unwanted resistance shows up in series with a parallel circuit. For example, if the brake light switch contacts become worn out RT: 1 1 1 1 9 /R,+/R,+/R,+/R4 Of this sum. (Note: The reciprocal Of a number is equal to 1 divided by the number

leg,.the reciprocal Of 100 is 1/100, equal to 001].) RT I 1/(1/R1 + 1/R2 +1/R3 +1/R,) This method is good for any number of resistors in parallel (it also works for two). Find the total resistance of the parallel circuit in FIGURE 544 Example 55 Figure 514, and draw the equivalent series circuit. C ' ' ' RT I 1/(1/2000 + 1/3000 + 1/800 + 1/4000) R, I 'I/(0.00050 + 0.00033 + 0.00125 

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