A 7.8
Ω
resistor and a 13.3
Ω
resistor are connected in parallel across a 17.9 V supply. Calculate the current in 7.8
Ω
resistor.

Question

A 7.8 
Ω
  resistor and a 13.3 
Ω
 resistor are connected in parallel across a 17.9 V supply. Calculate the current in 7.8 
Ω
 resistor.

BlackTom AI · Accepted Answer

The problem presents two resistors in parallel across a 17.9 V supply and asks for the current through the 7.8 Ω resistor.

In a parallel circuit, the voltage across each resistor is the same as the supply voltage, so the 7.8 Ω resistor has a voltage of 17.9 V across it.

Use Ohm's law for the resistor of interest: I = V / R.

Compute the current: I = 17.9 V ÷ 7.8 Ω.

Carrying out the division yields approximately 2.294... A. Depending on the required precision, this is commonly rounded to 2.29 A.

Note: if one were also asked for the current through the other resistor (13.3 Ω), it would be I = 17.9 V ÷ 13.3 Ω ≈ 1.344 A, and the total current supplied by the source would be the sum of the two currents (since they are in parallel).

This approach relies on the key parallel-circuit principle that the across-voltage is the same for all branches and that each branch current is determined solely by its own resistance via Ohm's law.

A 7.8 Ω resistor and a 13.3 Ω resistor are connected in parallel across a 17.9 V supply. Calculate the current in 7.8 Ω resistor.

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