Answer

Verified

46.2k+ views

**Hint:**In this case, we have to calculate the voltage drops across the resistance elements using Ohm's Law. The values of these currents are then entered into the Current law expression to obtain a suitable value for current. We'll keep simplifying the circuit by employing equivalent resistances instead of a resistor combination. On the last simplest circuit, we will discover the current, divide it into branches, and then find the current via each branch.

**Formula used:**

The formula for finding the current in \[45\Omega \] are:

\[v = i \times R\]

Equivalent resistance in series is given by

\[R = {R_1} + {R_2} + ....... + {R_9}\]

Equivalent resistance in parallel is given by

\[\dfrac{1}{{{R_p}}} = \dfrac{1}{{{R_1}}} + \dfrac{1}{{{R_2}}} + ....... + \dfrac{1}{{{R_n}}}\]

**Complete step by step solution:**

We have been given the circuit diagram in the question. Now, let us split the circuit into branches for easy understanding, we obtain

In the given circuit, we have been understood that voltage is

\[180\;{\rm{V}}\]

The sign “I” is commonly used to represent current. Ohm's law states that the current flowing through a conductor is proportional to the voltage V and resistance R.

That is, \[{\rm{V = IR}}\]

Ohm's law can also be stated as,

\[{\rm{i = }}\dfrac{{\rm{V}}}{{\rm{R}}}\]

Now, we have to substitute the values given in the circuit in the above formula, we get

\[i = \dfrac{{180}}{{90}}\]

Now, let’s simplify the above expression, we get

\[{\rm{i = 2A}}\]

Therefore, the current in \[45\Omega \] is \[{\rm{2}}\] Ampere.

**Hence, the option C is correct.**

**Note:**Keep in mind that current does not always divide evenly between the two branches of the circuit. It is determined by the amount of resistance between them. The current was divided equally in this case because the resistance on the two branches of the circuit was equal.

Recently Updated Pages

To get a maximum current in an external resistance class 1 physics JEE_Main

f a body travels with constant acceleration which of class 1 physics JEE_Main

A hollow sphere of mass M and radius R is rotating class 1 physics JEE_Main

If the beams of electrons and protons move parallel class 1 physics JEE_Main

Two radioactive nuclei P and Q in a given sample decay class 1 physics JEE_Main

silver wire has diameter 04mm and resistivity 16 times class 12 physics JEE_Main

Other Pages

According to classical free electron theory A There class 11 physics JEE_Main

Differentiate between homogeneous and heterogeneous class 12 chemistry JEE_Main

If a wire of resistance R is stretched to double of class 12 physics JEE_Main

Electric field due to uniformly charged sphere class 12 physics JEE_Main

How is a pn junction diode used as a half wave rectifier class 11 physics JEE_MAIN