To find the current in each branch, we can use the formula for calculating current in parallel circuits.

Step 1: Calculate the total resistance of the parallel circuit. In a parallel circuit, the total resistance (Rt) is given by the formula:

1/Rt = 1/R1 + 1/R2 + ...

In this case, we have two resistances: 8 ohms and 12 ohms. Plugging in the values, we get:

1/Rt = 1/8 + 1/12

Step 2: Simplify the equation by finding the common denominator:

1/Rt = (3/24) + (2/24)
= 5/24

Taking the reciprocal of both sides, we get:

Rt = 24/5
= 4.8 ohms

Step 3: Use Ohm's Law to calculate the current in each branch. Ohm's Law states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R):

I = V/R

In this case, the current (I) is given as 16 amperes. We can use this information to find the voltage (V) across the parallel circuit.

Step 4: Calculate the voltage (V) using Ohm's Law:

V = I * Rt
= 16 * 4.8
= 76.8 volts

Step 5: Finally, calculate the current in each branch using Ohm's Law:

For the first branch with resistance 8 ohms:
I1 = V/R1
= 76.8 / 8
= 9.6 amperes

For the second branch with resistance 12 ohms:
I2 = V/R2
= 76.8 / 12
= 6.4 amperes

Therefore, the current in each branch is 9.6 amperes and 6.4 amperes, respectively.

Question

To find the current in each branch, we can use the formula for calculating current in parallel circuits.

Step 1: Calculate the total resistance of the parallel circuit. In a parallel circuit, the total resistance (Rt) is given by the formula:

1/Rt = 1/R1 + 1/R2 + ...

In this case, we have two resistances: 8 ohms and 12 ohms. Plugging in the values, we get:

1/Rt = 1/8 + 1/12

Step 2: Simplify the equation by finding the common denominator:

1/Rt = (3/24) + (2/24)
       = 5/24

Taking the reciprocal of both sides, we get:

Rt = 24/5
     = 4.8 ohms

Step 3: Use Ohm's Law to calculate the current in each branch. Ohm's Law states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R):

I = V/R

In this case, the current (I) is given as 16 amperes. We can use this information to find the voltage (V) across the parallel circuit.

Step 4: Calculate the voltage (V) using Ohm's Law:

V = I * Rt
   = 16 * 4.8
   = 76.8 volts

Step 5: Finally, calculate the current in each branch using Ohm's Law:

For the first branch with resistance 8 ohms:
I1 = V/R1
     = 76.8 / 8
     = 9.6 amperes

For the second branch with resistance 12 ohms:
I2 = V/R2
     = 76.8 / 12
     = 6.4 amperes

Therefore, the current in each branch is 9.6 amperes and 6.4 amperes, respectively.

Knowee AI · Accepted Answer