A parallel circuit with a 12v source includes two resistors 150 ohms 300ohms caculate the current thought each resistor
Answer: the current through the 150 ohm resistor is 0.08 A and the current through the 300 ohm resistor is 0.04 A in the parallel circuit with a 12V source.
Explanation:
To calculate the current flowing through each resistor in a parallel circuit with a 12V source and resistors of 150 ohms and 300 ohms, you can use the formula for calculating current in a parallel circuit. 1. Calculate the total resistance of the parallel circuit using the formula: Rtotal1=R11+R21 Substitute the resistance values: Rtotal1=1501+3001 Rtotal1=3002+3001 Rtotal1=3003 Rtotal=3300 Rtotal=100Ω 2. Calculate the total current in the circuit using Ohm's Law: I=RtotalV I=10012 I=0.12A 3. Calculate the current through each resistor using the formula: I1=R1V I1=15012 I1=0.08A I2=R2V I2=30012 I2=0.04A
Answer:
\(\sf I_{150} = 0.08 \, \textsf{A}\)
\(\sf I_{300} = 0.04 \, \textsf{A}\)
Explanation:
To calculate the current through each resistor in a parallel circuit with a 12V source, we can use Ohm's law, which states:
\(\Large\boxed{\boxed{ \sf I = \dfrac{V}{R}}}\)
Since the resistors are in parallel, each resistor experiences the same voltage drop, which is equal to the source voltage, \(\sf V = 12V\).
Current through the 150-ohm resistor:
\(\sf I_{150} = \dfrac{V}{R_{150}}\)
\(\sf I_{150} = \dfrac{12V}{150\Omega}\)
\(\sf I_{150} = \dfrac{12}{150}\)
\(\sf I_{150} = 0.08 \, \textsf{A}\)
So, the current through the 150-ohm resistor is \(\sf \bold{ 0.08 }\, \textsf{A}\).
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Current through the 300-ohm resistor:
\(\sf I_{300} = \dfrac{V}{R_{300}}\)
\(\sf I_{300} = \dfrac{12V}{300\Omega}\)
\(\sf I_{300} = \dfrac{12}{300}\)
\(\sf I_{300} = 0.04 \, \textsf{A}\)
So, the current through the 300-ohm resistor is \(\sf \bold{0.04} \, \textsf{A}\).
Summary:
