Each heating element has a resistance of 5 Ω. The current passing through each element is 0.4.
Calculate the total resistance of the six heating elements.
To calculate the total resistance of the six heating elements, we'll use the formula for finding the total resistance in a parallel circuit.
In a parallel circuit, the total resistance (Rt) is calculated as the reciprocal of the sum of the reciprocals of the individual resistances.
The resistance of each heating element is given as 5 Ω, and there are six heating elements connected in parallel.
To find the total resistance, we first need to find the reciprocal of each individual resistance:
1/R1 = 1/5 Ω = 0.2
1/R2 = 1/5 Ω = 0.2
...
1/R6 = 1/5 Ω = 0.2
Next, we'll find the sum of the reciprocal resistances:
0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 = 1.2
Finally, we'll find the reciprocal of the sum:
1/Rt = 1/1.2
To calculate the total resistance, we divide both sides of the equation by 1.2:
Rt = 1.2/1
The total resistance of the six heating elements is approximately 1 Ω.