Answer :

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:  Rtotal​1​=R1​1​+R2​1​  Substitute the resistance values:  Rtotal​1​=1501​+3001​  Rtotal​1​=3002​+3001​  Rtotal​1​=3003​  Rtotal​=3300​  Rtotal​=100Ω  2. Calculate the total current in the circuit using Ohm's Law:  I=Rtotal​V​  I=10012​  I=0.12A  3. Calculate the current through each resistor using the formula:  I1​=R1​V​  I1​=15012​  I1​=0.08A  I2​=R2​V​  I2​=30012​  I2​=0.04A

msm555

Answer:

[tex] \sf I_{150} = 0.08 \, \textsf{A} [/tex]

[tex] \sf I_{300} = 0.04 \, \textsf{A} [/tex]

Explanation:

To calculate the current through each resistor in a parallel circuit with a 12V source, we can use Ohm's law, which states:

[tex]\Large\boxed{\boxed{ \sf I = \dfrac{V}{R}}} [/tex]

Since the resistors are in parallel, each resistor experiences the same voltage drop, which is equal to the source voltage, [tex] \sf V = 12V [/tex].

Current through the 150-ohm resistor:

[tex] \sf I_{150} = \dfrac{V}{R_{150}} [/tex]

[tex] \sf I_{150} = \dfrac{12V}{150\Omega} [/tex]

[tex] \sf I_{150} = \dfrac{12}{150} [/tex]

[tex] \sf I_{150} = 0.08 \, \textsf{A} [/tex]

So, the current through the 150-ohm resistor is [tex] \sf \bold{ 0.08 }\, \textsf{A} [/tex].

[tex]\hrulefill[/tex]

Current through the 300-ohm resistor:

[tex] \sf I_{300} = \dfrac{V}{R_{300}}[/tex]

[tex] \sf I_{300} = \dfrac{12V}{300\Omega} [/tex]

[tex] \sf I_{300} = \dfrac{12}{300} [/tex]

[tex] \sf I_{300} = 0.04 \, \textsf{A} [/tex]

So, the current through the 300-ohm resistor is [tex] \sf \bold{0.04} \, \textsf{A} [/tex].

Summary:

  • The current through the 150-ohm resistor is [tex] \sf \bold{ 0.08} \, \textsf{A} [/tex].
  • The current through the 300-ohm resistor is [tex] \sf \bold{0.04} \, \textsf{A} [/tex].

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