When two identical resistors are connected in | vedclass

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

Question

(A) Let the resistance of each identical resistor be $R$ and the electromotive force of the ideal cell be $V$.In series combination,the equivalent res

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(A) Let the resistance of each identical resistor be $R$ and the electromotive force of the ideal cell be $V$.In series combination,the equivalent resistance is $R_s = R + R = 2R$.The current through the circuit is $I_s = \frac{V}{2R} = 2 \ A$,which implies $V = 4R$.In parallel combination,the equivalent resistance is $R_p = \frac{R 	imes R}{R + R} = \frac{R}{2}$.The total current drawn from the cell is $I_p = \frac{V}{R_p} = \frac{4R}{R/2} = 8 \ A$.Since the resistors are identical and connected in parallel,the current divides equally through each resistor.Therefore,the current through each resistor is $I' = \frac{I_p}{2} = \frac{8 \ A}{2} = 4 \ A$.

When two identical resistors are connected in series to an ideal cell,the current through each resistor is $2 \ A$. If the resistors are connected in parallel to the same cell,the current through each resistor is: (in $A$)

Similar Questions

$A$ battery of $emf$ $10\,V$ is connected to resistances as shown in the figure. The potential difference between $A$ and $B$,$(V_A - V_B)$ is ................ $V$.

An electric heater and an electric bulb are rated $500\, W, 220\, V$ and $100\, W, 220\, V$ respectively. Both are connected in series to a $220\, V$ $a.c.$ mains. The power consumed by the heater and the bulb respectively is:

The potential difference between $A$ and $B$ in the figure is ................... $V$.

Current $I$ is flowing through two materials having electrical conductivities $\sigma_1$ and $\sigma_2$ respectively $(\sigma_1 > \sigma_2)$ as shown in the figure. The total amount of charge at the junction of the materials is

For the given circuit diagram,if the dissipated electrical power is $150 \text{ W}$,find the value of resistance $R$. (in $Omega$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module