In the circuit given below, the current flowing across 5 ohm resisto

1.	In the circuit given below, the current flowing across 5 ohm resistor is 1 amp. Find the current flowing through the other two resistor.
Answer» In the given figure, 5Ω, 4Ω and 10Ω resistors are in parallel. In parallel combination, voltage across each resistor is same. It is given that, R = 5Ω I = 1A V = IR = 5V Current across 4Ω resistor I = 5/4 A = 1.25 A Current across 10Ω resistor I = 5/10 = 0.5 A Given, Current flowing through 5 ohms resistor = 1 Ampere R₁= 5 ohms, R₂= 4 ohms and R₃= 10 ohms Now, Potential Difference across 5 ohms resistor will be: V = I × R (By Ohm's Law) V = 1 × 5 V = 5 Volts Let the current flowing through the other two resistors be I₂and I_3. Since all the resistors are connected in parallel, the potential difference across the three resistances will be same. Therefore, in R₂: V = I₂× R₂ 5 = I₂× 4 I₂= 5/4 = 1.25 Amperes Similarly in R₃: V = I₃× R₃ 5 = I₃× 10 I₃= 5/10 = 0.5 Amperes

In the circuit given below, the current flowing across 5 ohm resistor is 1 amp. Find the current flowing through the other two resistor.

Answer»

In the given figure, 5Ω, 4Ω and 10Ω resistors are in parallel. In parallel combination, voltage across each resistor is same.

It is given that,

R = 5Ω

I = 1A

V = IR = 5V

Current across 4Ω resistor I = 5/4 A = 1.25 A

Current across 10Ω resistor I = 5/10 = 0.5 A

Given,

Current flowing through 5 ohms resistor = 1 Ampere

R₁= 5 ohms, R₂= 4 ohms and R₃= 10 ohms

Now, Potential Difference across 5 ohms resistor will be:

V = I × R (By Ohm's Law)

V = 1 × 5

V = 5 Volts

Let the current flowing through the other two resistors be I₂and I_3.

Since all the resistors are connected in parallel, the potential difference across the three resistances will be same.

Therefore, in R₂:

V = I₂× R₂

5 = I₂× 4

I₂= 5/4 = 1.25 Amperes

Similarly in R₃:

V = I₃× R₃

5 = I₃× 10

I₃= 5/10 = 0.5 Amperes

Discussion

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