three resistance each of 4 ohms are connected to form a triangle . the

1.	three resistance each of 4 ohms are connected to form a triangle . the Resistance between any two terminals is ???????????????
Answer» $<klux>R</klux>=\dfrac{8}{3}$ The Resistance between any two terminals is ohms. Explanation: GIVEN, The three resistance (R) = 4 ohms To find, the Resistance between any two terminals = ? The two resistance are CONNECTED in series $=R_{1}+R_{2}$ = 4 + 4 = 8 ohms The two resistance are connected in parallel ( 8 ohms and 4 ohms) $\dfrac{1}{R}=\dfrac{1}{R_{1}}+\dfrac{1}{R_{2}}$ ⇒ $\dfrac{1}{R}=\dfrac{{R_{1}}+{R_{2}}}{R_{1}{R_{2}}}$ $R=\dfrac{{R_{1}}{R_{2}}}{R_{1}+{R_{2}}}$ ⇒ ⇒ $R=\dfrac{8\times 4}{8+4}=\dfrac{32}{12}$ $R=\dfrac{8}{3}$ ⇒ ohms $R=\dfrac{8}{3}$ Hence, the Resistance between any two terminals is ohms.