In the circuit shown in fig. E, F, G and H are cells of e.m.f. 2, 1, 3 and 1 volt and their internal resistances
are 2, 7,3 and 1 ohm respectively. The potential difference between B and D is

Question

In the circuit shown in fig. E, F, G and H are cells of e.m.f. 2, 1, 3 and 1 volt and their internal resistances

are 2, 7,3 and 1 ohm respectively. The potential difference between B and D is

Infinity Learn · Accepted Answer

shows the current distributionApplying Kirchhoff's first law at point D, we $$havei=i1+i2$$…………(1)Applying$$ Kirchhoff second law to mesh,DBA, we $$have2i+1i+2i1=2$$−$$1=1or$$ $$3i+2i1=1$$……..$$(2)Applying$$ Kirchhoff second law to mesh DCBD we $$get3i2+1i2$$−$$2i1=3$$−$$1or$$ $$4i2$$−$$2i1=2$$…….$$(3)Solving$$ eqs. $$(1), (2) and (3), we $$geti1=-113amp$$.,$$i2=613$$ amp.and $$i=513$$ amp. Potential difference between B and $$D=2i1=2113=213$$ volt