An $1800\, W$ toaster, a $1.3 \, KW$ electric fan and a $100W$ lamp are plugged in the same $120V$ circuit i.e. all the three devices are in parallel. What is the approximate value of the total current (i.e. sum of the current drawn by the three devices) through circuit ?
- $18\, A$
- $27\, A$
- $40\, A$
- $120\, A$
The Correct Option is B
Solution and Explanation
$P=P_{1}+P_{2}+P_{3}$ ...(i)
and $P=VI$
From E (i), we get
$ P_{1}+P_{2}+P_{3}=VI$
$\Rightarrow (1800+1300+100) Watt =(120) I $
$\Rightarrow 3200 =120I$
$I=26.66\, A$
$\approx 27\, A$
Top Questions on Kirchhoff's Laws
- Three batteries E1, E2, and E3 of emfs and internal resistances (4 V, 2 \(\Omega\)), (2 V, 4 \(\Omega\)) and (6 V, 2 \(\Omega\)) respectively are connected as shown in the figure. Find the values of the currents passing through batteries E1, E2, and E3.
- CBSE CLASS XII - 2025
- Physics
- Kirchhoff's Laws
- State Kirchhoff’s laws. Apply these laws to find the values of current flowing in the three branches of the given circuit.
- CBSE CLASS XII - 2025
- Physics
- Kirchhoff's Laws
- In case (a) above, is Kirchhoff's first rule (junction rule) valid at each plate of the capacitor? Explain.
- CBSE CLASS XII - 2025
- Physics
- Kirchhoff's Laws
- Tesla is the SI unit of:
- TS POLYCET - 2025
- Physics
- Kirchhoff's Laws
Calculate the mesh currents \(I_1\) and \(I_2\) flowing in the first and second meshes respectively.
Circuit Description: Left mesh (Mesh 1): 5V source (+ up), 5 ohm resistor, 3A current source (up). Right mesh (Mesh 2): 3A current source (up), 3 ohm resistor, 10V source (+ up). I1 assumed CW, I2 assumed CW.
- AP PGECET - 2024
- Instrumentation Engineering
- Kirchhoff's Laws
Questions Asked in UPSEE exam
Acetic acid dissociates 1.3%. What will be the pH of \(\frac {N}{10}\) solution of the acid.
- UPSEE - 2019
- Acids and Bases
Let z = x + iy be a complex number satisfying the following equation |z - (2 + i)| = |Re(z) - 4 | Which of the following options describes the above equation?
- UPSEE - 2019
- Complex Numbers and Quadratic Equations
- Let x be an $n \times 1$ matrix. Let O and I be the zero, and identity matrices of order n, respectively. Define $P = - \frac{xx^T}{x^Tx}$ is the transpose of x. Then which of the following options is always CORRECT?
- UPSEE - 2019
- Transpose of a Matrix
- Let z = x + iy be a complex number. The equation arg $\left( \frac{z + 1}{z}\right) = \frac{\pi}{4}$ represents
- UPSEE - 2019
- Complex Numbers and Quadratic Equations
- Let $a_1, a_2, a_3$, ... be an arithmetic progression with nonzero common difference. It is given that $\sum^{12}_{i = 4} a_i = 63$ and $a_k = 7 $ for some k . Then the value of k is
- UPSEE - 2019
- Arithmetic Progression
Concepts Used:
Kirchhoff's Laws
Kirchhoffs Circuit Laws allow us to solve complex circuit problems.
Kirchhoff's First Law/ Kirchhoffs Current Law
It states that the “total current or charge entering a junction or node is exactly equal to the charge leaving the node as it has no other place to go except to leave, as no charge is lost within the node“.
Kirchhoff's Second Law/ Kirchhoffs Voltage Law
It states that “in any closed loop network, the total voltage around the loop is equal to the sum of all the voltage drops within the same loop” which is also equal to zero.