Consider the circuit shown below to charge a battery with renewable and conventional charging options.

$3\mathrm{.}34$

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Where $V_1=18V,R_1=0\mathrm{.}04,V_2=15V,R_2=0\mathrm{.}03,V_3=12V.$ and $R_3=0\mathrm{.}02$ Diodes $D_1$ and $D_2$ are ideal diodes.

a$.$ For the given data, establish the valid configuration.

D$1-$Off D$2-$Off D$1-$Off D$2-$On

D$1-$On D$2-$Off

D$1-$On D$2-$On

b$.$ Find the battery current.

lbatt $=$