# Find the current through the 10-ohm resistance connected across AB.

By BYJU'S Exam Prep

Updated on: September 25th, 2023

The current through the 10-ohm resistance connected across AB is 0A. Steps to find the current through the 10-ohm resistance connected across AB:

Applying KVL in loop ABCA:

-10 + 2I2 + (I2 – I1)10 = 0

On rearranging we get:

12I2 – 10I1 = 0 …. (1)

Applying KVL in loop ∠DAC:

-5 + I1 x 1 – (I2 – I1) 10 = 0

On rearranging we get:

11I1 – 10I2 = 5 …. (2)

(i) x 11 + (ii) x 10

We get:

132I2 – 110I1 + 110I1 – 100I2 = 110 + 50

In simplification we get the:

32I2 = 160

I2 = 160/32 = 5

Using (i)

I1 = 12I2 – 10/ 10

In simplification we get the:

= 12 x 5 – 10/ 10

= 5A

ICA = I2 – I1 = 5 – 5 = 0A

### Properties of current

• We are aware that the movement of electrons produces an electric current. Electrical energy is the name given to the labor involved in moving the electron stream. Heat energy, light energy, and other types of energy can all be created from electrical energy.
• For instance, heat energy is produced when electric energy is used in an iron box. Similarly to this, a bulb’s electric energy is transformed into light energy.
• Alternating current (AC) and direct current are the two different types of electric current (DC). While alternating electricity can flow in both directions, direct current can only go in one direction.
• In industrial settings, direct current is rarely employed as the main energy source. The majority of its uses are low-voltage ones, such as airplane applications and battery charging. Appliances for both domestic and industrial and commercial use run on alternating currents.
• Amperes are used to measure electric current. An electric charge of one coulomb passing past a given place in one second is represented by one ampere of current.

Summary:

## Find the current through the 10-ohm resistance connected across AB.

The 10-ohm resistance connected across AB has a 0A current flowing through it. According to Ohm’s law, a relation exists between the current flowing through a conductor and the potential difference across it.

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