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Combination Circuit Problems - SOLUTIONS

By Jeff Thomas,2014-05-28 14:37
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Combination Circuit Problems - SOLUTIONS

    Combination Circuit Problems - SOLUTIONS

    1. The circuit in figure 1 has the following values

    R1 = 10 Ω

    R2 = 15 Ω

    R3 = 20 ΩFigure 1.

    E1 = 12 V

    a) What is the equivalent resistance of the circuit?b) What is the current flowing through R1?c) What is the potential difference across R1?d) What is the current through and potential difference across resistor R3?

    2. The circuit in figure 2 has the following valuesR1 = 100 Ω

    R2 = 50 Ω

    R3 = 50 Ω

    V4 = 3.5 V

    I4 = 200 mA

    Figure 2.

    a) What is the current through R3?

    Developed by Mr. D. Patterson

    b) What is the EMF supplied by E1?3. The circuit in figure 2 has the following values

    R1 = 2 kΩR2 = 1 kΩ

    R3 = 1.3 kΩR4 = 2.5 kΩ

    E1 = 24 V

    What is the current flowing through R4?Strategy: If we know V1 we can use KVL to determine V3. We can find V1 if we know the current

    leaving the battery. Once we know V3 we can use KCL to determine the current through the branch

    with R2 and R4.

    Simplify the circuit:

    R = R+R||(R+R)T1324

    R= 2948 ΩT

    I = V/R= 24/2948 = 0.00814 A = 8.14 mATTT

    I = I1T

    V = IR = 0.00814 x 2000 = 16.28 V111

    εV1V3=+

    V3εV3241628772V= -=-.=.

    I4ITI3ITV3R3000814772130000022A220mA=- =-=.-.=. =.

    4. The circuit in figure 3 has the following values

    R1 = 25 Ω

    R2 = 50 Ω

    R3 = 10 Ω

    R4 = 100 Ω

    R5 = 5 Ω

    E1 = 15 VFigure 4.

    Developed by Mr. D. Patterson

    What is the potential difference across R1?Simplify the circuit down to one effective resistance.

    RTR1R2R3R4R5=+ +

    RT= 38.09 Ω

    ITVTRT1538090394A==.=.

    ITI1=

    V1I1R1039425984V==.*=.

    Developed by Mr. D. Patterson

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