please solve it A.S.A.P
Answers
Explanation:
Resistance in series circuit : \begin{lgathered}R_s = R_1 + R_2 + R_3 + ...+ R_n\\\end{lgathered}
R
s
=R
1
+R
2
+R
3
+...+R
n
(equation 1)
Resistance in parallel circuit : \begin{lgathered}\frac{1}{R_p} = \frac{!}{R_1} + \frac{1}{R_2} +\frac{1}{R_3} +....+ \frac{1}{R_n}\\ \\\end{lgathered}
R
p
1
=
R
1
!
+
R
2
1
+
R
3
1
+....+
R
n
1
(equation 2)
Resistance in parallel circuit for two resistnces : R_p = \frac{R_1\times R_2}{R_1 + R_2}R
p
=
R
1
+R
2
R
1
×R
2
(equation 3)
Circuit CDE : Two series resistances of resistance R
So resistance in CDE = R + R = 2R
CE and CDE are in parallel of resistance 2R each.
So Resistance in Triangle CDE = R
So this CDE triangle becomes a resistor of resistance = R
Similarly for triangle BCE
BC and CE are in series with resistance R each
So BCE = 2R
Then
BCE and BE of equal resistance 2R in parallel make this triangle's resistance = R
Similarly for triangle ABE
AB and BE are in series with resistance R each
So ABE = 2R
Then
ABE and AE of equal resistance 2R in parallel make this triangle's resistance = R
\textbf{\Large So the whole circuit has total effective resistance = R}So the whole circuit has total effective resistance = R
Answer's in the pic............