Consider the circuit shown in the figure. The current I flowing through the 7\:\Omega resistor between P and Q (rounded off to one decimal place) is ________ A.
Consider the network shown below with R_{1} = 1\Omega , R_{2} = 2\Omega \; and \; R_{3} = 3\Omega . The network is connected to a constant voltage source of 11V. The magnitude of the current (in amperes, accurate to two decimal places) through the source is _______.
As the network is symmetric, V_{A}= V_{B} and V_{C}= V_{D} So current throught R_{2} resistor is zero and V_{A}=V_{B} and V_{C}=V_{D},electrically the circuit can reduced as,
Total resistance, \begin{aligned} R_{T} &=2\left(R_{1} \| R_{1}\right)+\left(R_{1}\left\|R_{1}\right\| R_{3} \| R_{3}\right) \\ &=R_{1}+\left(\frac{R_{1}}{2} \| \frac{R_{3}}{2}\right) \end{aligned} Given that, R_{1}=1 \Omega and R_{3}=3 \Omega \begin{aligned} \text{So,}\qquad R_{T} &=1+\left(\frac{1}{2} \| \frac{3}{2}\right) \Omega=1+\frac{3 / 2}{4}=\frac{11}{8} \Omega \\ I &=\frac{11 \mathrm{V}}{R_{T}}=\frac{11}{(11 / 8)}=8 \mathrm{A} \end{aligned}
Question 7
A connection is made consisting of resistance A in series with a parallel combination of
resistances B and C. Three resistors of value 10\Omega, 5\Omega, 2\Omega are provided. Consider all possible permutations of the given resistors into the positions A, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ____________.
Using KVL in the outer loop 60-5\left(0.16 V_{x}\right)-\frac{V_{x}}{5} \times 3-V_{x}=0 \text{or}\quad v_{x}=25 \mathrm{V} \therefore The current flowing through R_{2}=\frac{V_{x}}{5}=\frac{25}{5}=5 \mathrm{A}
Question 10
In the given circuit, each resistor has a value equal to 1 \Omega.
What is the equivalent resistance across the terminals a and b?