Answer : (a) 0.5A
The circuit given in the question, is a balanced Wheatstone bridge, so no current is flow in the branch BC and it behaves like an open circuit.
So, circuit becomes as shown below :

Now,
In the above circuit,
RABD = 5 + 10 = 15Ω
RACD = 10 + 20 = 30Ω
Resistance. RABD and RACD in parallel,
So,
