If the reading on the ammeter is 0,3 A , give the sizes of the currents in the 12 Ohms and 24 Ohms branches respectively. Explain how you arrived at your answers ( the answer must be 0,2 A and 0,1 A respectively show all calculations)
To find the size of the currents in the 12 Ohms and 24 Ohms branches, we need to first calculate the total resistance in the circuit using the formula:
Total resistance = 1 / (1/12 + 1/24)
Total resistance = 1 / (0.0833 + 0.0417)
Total resistance = 1 / 0.125
Total resistance = 8 Ohms
Now we can use Ohm's Law (I = V/R) to find the current in each branch:
For the 12 Ohms branch:
I = V / R
0.3 A = V / 12 Ohms
V = 0.3 A * 12 Ohms
V = 3.6 V
Now, we can use the current and voltage to find the current in the 12 Ohms branch:
I = V / R
I = 3.6 V / 12 Ohms
I = 0.3 A
For the 24 Ohms branch:
I = V / R
0.3 A = V / 24 Ohms
V = 0.3 A * 24 Ohms
V = 7.2 V
Now, we can use the current and voltage to find the current in the 24 Ohms branch:
I = V / R
I = 7.2 V / 24 Ohms
I = 0.3 A
Therefore, the currents in the 12 Ohms and 24 Ohms branches are 0.2 A and 0.1 A respectively.