We know that Rα l R1 = and R2 = = + Putting the values The equivalent internal resistance of each row of n cells in series = nr. Ans-7 The net equivalent internal resistance of the combination = nr/m. Net equivalent emf of the combination = n x E (E = emf of one cell) Current drawn by R For maximum current, the denominator should be minimum. This happens when, Ans.8 = Current flowing through the outer circuit I1 Current flowing through branch AB I2= Current flowing through branch AD I 3= Current flowing through branch BC I − I4= 2 + Current flowing through branch CD I I4= 3 Current flowing through branch BD I 4= For the closed circuit ABDA, potential is zero i.e., 10I2 + 5I4 5I3= 0 − 2I + 0 I4 −I3= 2 = 2I2 + I I4… (1) 3 For the closed circuit BCDB, potential is zero i.e., 5(I2 10(I3 + 5I4 = 0 I4) I4) − − − 5I2 + 5I4 10I3 10I4 5I4 = 0 − − − 5I2 10I3 20I4 = 0 − − = 2I3 + 4I4 I2 … (2) For the closed circuit ABCFEA, potential is zero i.e., + 10 (I1) + 10(I2) + 5(I2 = 0 I4) −10 − 10 = 15I2 + 10I1 5I4 −
We know that Rα l R1 = and R2 = = + Putting the values Ans-7 The equivalent internal resistance of each row of n cells in series = nr. The net equivalent internal resistance of the combination = nr/m. Net equivalent emf of the combination = n x E (E = emf of one cell) Current drawn by R For maximum current, the denominator should be minimum. This happens when, Ans.8 I1 = Current flowing through the outer circuit I2= Current flowing through branch AB I 3= Current flowing through branch AD I 2 − I4= Current flowing through branch BC I 3 + I4= Current flowing through branch CD I 4= Current flowing through branch BD For the closed circuit ABDA, potential is zero i.e., 10I2 + 5I4 − 5I3= 0 2I 2 + I4 −I3= 0 I 3 = 2I2 + I4… (1) For the closed circuit BCDB, potential is zero i.e., 5(I2 − I4) − 10(I3 + I4) − 5I4 = 0 5I2 + 5I4 − 10I3 − 10I4 − 5I4 = 0 5I2 − 10I3 − 20I4 = 0 I2 = 2I3 + 4I4 … (2) For the closed circuit ABCFEA, potential is zero i.e., −10 + 10 (I1) + 10(I2) + 5(I2 − I4) = 0 10 = 15I2 + 10I1 − 5I4
857054491workshop_for_the_month_of_july.docx