How can I calculate voltage drop in a parallel circuit?
Answer
630.9k+ views
Hint: This can be solved by using ohm’s law which states that voltage across a conductor is directly proportional to the current flowing through it, and for parallel circuits we will use formula for total resistance to find total voltage drop.
Formula used:
$\begin{align}
& V=IR \\
& R={{R}_{1}}+{{R}_{2}}+{{R}_{3}} \\
\end{align}$
Complete step by step solution:
The voltage drop across a resistor in a parallel circuit is the same across all the resistors in each branch of all the parallel circuits in the parallel circuit diagram.
Voltage expressed in voltage measures the electromotive forces that drive the circuit or the potential difference.
Consider a circuit with the three resistors connected in parallel and with the voltage supply ‘V’ and the current flowing in ‘I’.
Now step by step method to calculate voltage across the circuit,
Step 1:- find the total resistance of the parallel circuit.
Formula for total resistance for the circuit connected in parallel,
$\begin{align}
& \Rightarrow \dfrac{1}{{{R}_{T}}}=\dfrac{1}{{{R}_{1}}}+\dfrac{1}{{{R}_{2}}}+\dfrac{1}{{{R}_{3}}} \\
& \therefore {{R}_{T}}=\dfrac{{{R}_{1}}{{R}_{2}}{{R}_{3}}}{{{R}_{1}}{{R}_{2}}+{{R}_{2}}{{R}_{3}}+{{R}_{1}}{{R}_{3}}}....\left( 3 \right) \\
\end{align}$
Now according to the ohm’s law,
$\Rightarrow V=I{{R}_{T}}$
Where, V = voltage
I = current
${{R}_{T}}$ = total resistance
$\Rightarrow V=\dfrac{I\times {{R}_{1}}{{R}_{2}}{{R}_{3}}}{{{R}_{1}}{{R}_{2}}+{{R}_{2}}{{R}_{3}}+{{R}_{3}}{{R}_{4}}}....\left( 1 \right)$
Consider this method because according to Kirchhoff’s current law, the amount of the current entering in the circuit is equal to amount of the current leaving the circuit.
Note:
As an approach to solve this question we use ohm’s law to find voltage across a circuit of the resistor which are connected in parallel using total resistance of parallel circuit and total amount of current flowing in the circuit.
Formula used:
$\begin{align}
& V=IR \\
& R={{R}_{1}}+{{R}_{2}}+{{R}_{3}} \\
\end{align}$
Complete step by step solution:
The voltage drop across a resistor in a parallel circuit is the same across all the resistors in each branch of all the parallel circuits in the parallel circuit diagram.
Voltage expressed in voltage measures the electromotive forces that drive the circuit or the potential difference.
Consider a circuit with the three resistors connected in parallel and with the voltage supply ‘V’ and the current flowing in ‘I’.
Now step by step method to calculate voltage across the circuit,
Step 1:- find the total resistance of the parallel circuit.
Formula for total resistance for the circuit connected in parallel,
$\begin{align}
& \Rightarrow \dfrac{1}{{{R}_{T}}}=\dfrac{1}{{{R}_{1}}}+\dfrac{1}{{{R}_{2}}}+\dfrac{1}{{{R}_{3}}} \\
& \therefore {{R}_{T}}=\dfrac{{{R}_{1}}{{R}_{2}}{{R}_{3}}}{{{R}_{1}}{{R}_{2}}+{{R}_{2}}{{R}_{3}}+{{R}_{1}}{{R}_{3}}}....\left( 3 \right) \\
\end{align}$
Now according to the ohm’s law,
$\Rightarrow V=I{{R}_{T}}$
Where, V = voltage
I = current
${{R}_{T}}$ = total resistance
$\Rightarrow V=\dfrac{I\times {{R}_{1}}{{R}_{2}}{{R}_{3}}}{{{R}_{1}}{{R}_{2}}+{{R}_{2}}{{R}_{3}}+{{R}_{3}}{{R}_{4}}}....\left( 1 \right)$
Consider this method because according to Kirchhoff’s current law, the amount of the current entering in the circuit is equal to amount of the current leaving the circuit.
Note:
As an approach to solve this question we use ohm’s law to find voltage across a circuit of the resistor which are connected in parallel using total resistance of parallel circuit and total amount of current flowing in the circuit.
Recently Updated Pages
What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

Trending doubts
Which is the correct genotypic ratio of mendel dihybrid class 12 biology CBSE

What is the Full Form of PVC, PET, HDPE, LDPE, PP and PS ?

Explain the energy losses in the transformer How are class 12 physics CBSE

Draw a well labelled diagram of LS of the human ki class 12 biology CBSE

Draw a well labelled diagram of the human brain class 12 biology CBSE

Derive an expression for the electric field intensity class 12 physics CBSE

