In the circuit shown,the currents i_{1} and i | vedclass

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

Question

(B) First,calculate the equivalent resistance of the parallel combination of $12 \Omega$ and $4 \Omega$ resistors:$R_p = \frac{12 	imes 4}{12 + 4} =

Vedclass · Accepted Answer

$i_{1}=0.5 	ext{ A}, i_{2}=1.5 	ext{ A}$

Vedclass · Answer

(B) First,calculate the equivalent resistance of the parallel combination of $12 \Omega$ and $4 \Omega$ resistors:$R_p = \frac{12 	imes 4}{12 + 4} = \frac{48}{16} = 3 \Omega$Now,calculate the total resistance of the circuit including the series resistor and internal resistance:$R_{total} = R_p + 2 \Omega + 1 \Omega = 3 \Omega + 2 \Omega + 1 \Omega = 6 \Omega$The total current $I$ flowing from the battery is:$I = \frac{V}{R_{total}} = \frac{12 	ext{ V}}{6 \Omega} = 2 	ext{ A}$Using the current divider rule for parallel resistors:$i_1 = I 	imes \frac{R_2}{R_1 + R_2} = 2 	imes \frac{4}{12 + 4} = 2 	imes \frac{4}{16} = 0.5 	ext{ A}$$i_2 = I 	imes \frac{R_1}{R_1 + R_2} = 2 	imes \frac{12}{12 + 4} = 2 	imes \frac{12}{16} = 1.5 	ext{ A}$Thus,$i_1 = 0.5 	ext{ A}$ and $i_2 = 1.5 	ext{ A}$.

In the circuit shown,the currents $i_{1}$ and $i_{2}$ are

Similar Questions

Two bulbs,as in the previous context ($40\, W$ and $100\, W$ bulbs rated at the same voltage),are connected in series to a $200\, V$ line. Then:

Electric bulbs rated $50\, W$ - $100\, V$ glowing at full power are to be used in parallel with a battery of $120\, V$ and internal resistance $10\,\Omega$. The maximum number of bulbs that can be connected so that they glow at full power is:

The effective resistance between $A$ and $B$ of the shown network,where the resistance of each resistor is $R$,is

The current inside a copper voltameter:

The terminal voltage of the battery, whose emf is $10 \, V$ and internal resistance is $1 \, \Omega$, when connected through an external resistance of $4 \, \Omega$ as shown in the figure is: (in $V$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module