The figure below is an electrical circuit containing two cells of e.m.f. and
.
The cells are connected to resistors of resistance ,
and
and the currents in the branches of the circuit are
,
and
, as shown.
Use Kirchhoff’s first law to write down an expression relating ,
and
.
Use Kirchhoff’s second law to write down an expression relating
,
,
,
and
in the loop XBCYX,
,
,
,
,
and
in the loop AXYDA,