Consider a parallel combination of 2 resistors with resistances 4 (0 800 6 0 . The equivalent resistance of the circuit is:
\(2.4 \ \Omega\)
To find the equivalent resistance of a parallel combination of resistors, we use the formula:
\[ \frac{1}{R_{\text{eq}}} = \frac{1}{R_1} + \frac{1}{R_2} \]
Given \( R_1 = 4 \ \Omega \) and \( R_2 = 6 \ \Omega \), substitute these values into the formula:
\[ \frac{1}{R_{\text{eq}}} = \frac{1}{4} + \frac{1}{6} \]
To add these fractions, find a common denominator. The least common multiple of 4 and 6 is 12:
\[ \frac{1}{R_{\text{eq}}} = \frac{3}{12} + \frac{2}{12} = \frac{5}{12} \]
Now, take the reciprocal to find \( R_{\text{eq}} \):
\[ R_{\text{eq}} = \frac{12}{5} = 2.4 \ \Omega \]
The equivalent resistance of the parallel circuit is \(\boxed{2.4 \ \Omega}\).
Important Questions from Miscellaneous
The ration of the number of girls and boys in a school is 8 : 7. If the percentage increase in the number of girls and boys is 10% and 20% respectively, what will be the new ratio?
The cheapest means of transport is:
The property of Catenation is most readily predominant in:
Which newspaper edited by Bal Gangadhar Tilak, was one of the strongest critics of the British rule?
Which of the following is NOT a cause of food and water contamination?
