How Many 176 Omega Resistors in Parallel are Required to Carry 5 A on A 220 V Line

Introduction

Current - Current is defined as the rate at which electrons flow past a point in a complete electrical circuit. Current is equal to flow i.e. current = flow. An ampere or amp is the international unit which is used for measuring current.

Resistance- Resistance is defined as a measure of the opposition to current flow in an electrical circuit. Resistance is always measured in ohms, symbolized by the Greek letter omega (Ω). Ohms are named after Georg Simon Ohm (1784-1854), he was a German physicist who studied the relationship between voltage, current and resistance.

Voltage- Voltage is defined as the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop. In brief, voltage is equal to pressure i.e. voltage = pressure, and it is always measured in volts (V).

Relation between v i and r- The relationship between voltage (v), current(I), and resistance(R) is described by Ohm's law.

Ohm’s Law state that,

I=\frac{V}{R}

This tells us that the current, I flowing through a circuit is directly proportional to the voltage, V and inversely proportional to the resistance, R.

Parallel Circuit - A Parallel circuit is said to be parallel when the electric current has multiple paths to flow through and the components that are a part of the parallel circuit will always have a constant voltage across all ends.

Series Circuit- A circuit is said to be a series circuit when it is connected in series with the same current flows through all the components in the circuit. In series circuits, the current has always only one path.

Main Content-

Ohm's law gives the equivalent resistance of resistors which is linked in parallel for x number of resistors of resistance 176 Ω as,

V=IR

R=\frac{V}{I}

Here voltage, V=220 V, current I=5A, and R is the equivalent resistance of the combination.

\frac{1}{R}=x\times\lgroup\:\frac{1}{176}\rgroup

R=\frac{176}{x}

From Ohm's Law,

\frac{V}{I}=\frac{176}{x}

x=\frac{176\times 5}{220}=4

Conclusion

To draw the needed quantity of current, four 176 Ω resistors are required.