In the given figure, the current through the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The circuit consists of two branches connected in parallel. The upper branch has resistors $20 \, \Omega$ and $4 \, \Omega$ in series, so its resi

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(C) The circuit consists of two branches connected in parallel. The upper branch has resistors $20 \, \Omega$ and $4 \, \Omega$ in series, so its resistance is $R_1 = 20 + 4 = 24 \, \Omega$.The lower branch has resistors $50 \, \Omega$ and $10 \, \Omega$ in series, so its resistance is $R_2 = 50 + 10 = 60 \, \Omega$.The total current $I = 1.4 \, A$ divides into these two parallel branches.Using the current divider rule, the current $I_1$ through the upper branch (which contains the $4 \, \Omega$ resistor) is given by:$I_1 = I 	imes \frac{R_2}{R_1 + R_2}$$I_1 = 1.4 	imes \frac{60}{24 + 60}$$I_1 = 1.4 	imes \frac{60}{84}$$I_1 = 1.4 	imes \frac{5}{7} = 0.2 	imes 5 = 1 \, A$.Thus, the current through the $4 \, \Omega$ resistor is $1 \, A$.

In the given figure, the current through the $4 \, \Omega$ resistor is ................. $A$.

Similar Questions

In the circuit shown in the figure, the heat produced in the $5\, \Omega$ resistance is $10\, \text{cal/sec}$. The heat produced in the $4\, \Omega$ resistance is ................ $\text{cal/sec}$.

Two light bulbs in the circuit have ratings $A\,[24\ V, 48\ W]$ and $B\,[24\ V, 36\ W]$ as shown in the figure.

$A$ constant voltage of $50 \ V$ is maintained between the points $A$ and $B$ of the circuit shown in the figure. The current through the branch $CD$ of the circuit is (in $A$)

Total surface area of a cathode is $0.05\,m^2$ and $1\,A$ current passes through it for $1\,hour$. The thickness of nickel deposited on the cathode is (Given that density of nickel $= 9\,g/cm^3$ and its $E.C.E. = 3.04 \times 10^{-4}\,g/C$)

In the circuit shown below,the power developed in the $6 \, \Omega$ resistor is $6 \, W$. The power in watts developed in the $4 \, \Omega$ resistor is

Vedclass Test Series

Exam Paper Generator

Online Exam Module