Analysis of the Circuit:
The given circuit consists of three resistors connected in parallel. One of the resistors has a resistance of 5 ohms and a current of 1 ampere flowing through it. We need to find the current flowing through the other two resistors.

Understanding Parallel Circuit:
In a parallel circuit, the voltage across each resistor is the same, while the current through each resistor may vary. The total current flowing into the parallel circuit is equal to the sum of the currents flowing through each individual resistor.

Applying Ohm's Law:
We can use Ohm's Law to find the current through the other two resistors. Ohm's Law states that the current (I) flowing through a resistor is equal to the voltage (V) across the resistor divided by its resistance (R). Mathematically, it can be represented as I = V/R.

Finding the Total Resistance:
To find the current through the other two resistors, we first need to calculate the total resistance of the parallel circuit. The formula for calculating the total resistance (RT) of two resistors connected in parallel is given by:
1/RT = 1/R1 + 1/R2

Calculating the Total Resistance:
Let's assume the resistances of the other two resistors are R2 and R3. Using the formula for total resistance, we can write:
1/RT = 1/5 + 1/R2 + 1/R3

Substituting Known Values:
Since we know that the resistance of one of the resistors is 5 ohms, we can substitute this value into the equation to simplify it:
1/RT = 1/5 + 1/R2 + 1/R3

Finding the Current:
Once we have the total resistance, we can find the current through the other two resistors using Ohm's Law. The voltage across each resistor is the same, so we can use the current flowing through the resistor with a known resistance (5 ohms) to calculate the current flowing through the other two resistors.

Calculating the Current:
We can write the equation for the current through the other two resistors as:
I = V/RT

Substituting Known Values:
Now, we can substitute the known values into the equation to find the current flowing through the other two resistors.

Explanation of the Current:
The current flowing through the other two resistors can be found by dividing the voltage across the resistors by their respective resistances. This current will be the same for both resistors since they are connected in parallel.

Final Remarks:
By following the steps outlined above, we can determine the current flowing through the other two resistors in the given circuit. The total resistance of the circuit needs to be calculated using the formula for resistors connected in parallel. Then, by applying Ohm's Law, we can find the current flowing through the other two resistors.