Resistances of 6, Omega each are connected in | vedclass

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

Question

(C) The circuit consists of two parts connected in series.First part: Three resistors of $6\, \Omega$ each are connected in parallel. The equivalent r

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(C) The circuit consists of two parts connected in series.First part: Three resistors of $6\, \Omega$ each are connected in parallel. The equivalent resistance $R_1$ is given by $\frac{1}{R_1} = \frac{1}{6} + \frac{1}{6} + \frac{1}{6} = \frac{3}{6} = \frac{1}{2}$, so $R_1 = 2\, \Omega$.Second part: Two resistors of $6\, \Omega$ are in series, giving $6 + 6 = 12\, \Omega$. This is in parallel with another $6\, \Omega$ resistor. The equivalent resistance $R_2$ is given by $R_2 = \frac{12 	imes 6}{12 + 6} = \frac{72}{18} = 4\, \Omega$.The total resistance between $P$ and $Q$ is $R_{eq} = R_1 + R_2 = 2\, \Omega + 4\, \Omega = 6\, \Omega$.The potential difference $V_P - V_Q = I 	imes R_{eq} = 0.5\, A 	imes 6\, \Omega = 3\, V$.

Resistances of $6\, \Omega$ each are connected in the manner shown in the adjoining figure. With the current $0.5\, A$ as shown in the figure, the potential difference $V_P - V_Q$ is .............. $V$.

Similar Questions

$A, B$ and $C$ are voltmeters of resistance $R, 1.5R$ and $3R$ respectively as shown in the figure. When some potential difference is applied between $X$ and $Y$,the voltmeter readings are $V_A, V_B$ and $V_C$ respectively. Then

The current flowing through the circuit shown in the figure is ........... $A$.

In the figure shown, if the internal resistance of the battery is $1\, \Omega$, the reading of the ammeter will be ................. $A$.

$A$ battery has an $e.m.f.$ of $4\, V$ and an internal resistance $r$. When this battery is connected to an external resistance of $2\, \Omega$,a current of $1\, A$ flows in the circuit. How much current will flow if the terminals of the battery are connected directly?

In the figure,the value of the resistor to be connected between $C$ and $D$ so that the equivalent resistance of the entire circuit between $A$ and $B$ does not change with the number of elementary sets used is

Vedclass Test Series

Exam Paper Generator

Online Exam Module