Final answer:
The magnetic field between two long, parallel wires carrying currents in the same direction can be calculated using Ampere's Law and the formula = μ0 I1 I2 / (2π d). By plugging in the values given in the question, we find that the magnetic field is 1.53 x 10^-4 T, which is greater than 0. Hence the statement is True
Step-by-step explanation:
According to Ampere's Law, the magnetic field between two long, parallel wires carrying currents in the same direction is given by:
= μ0 I1 I2 / (2π d)
where:
is the magnetic field
μ0 is the permeability of free space (4π x 10-7 T m/A)
I1 and I2 are the currents flowing through the wires
d is the distance between the wires
In the given question, the currents flowing through the wires are 28.0 A and 77.0 A, and the distance between the wires is 38.0 cm (0.38 m). Therefore, we can calculate the magnetic field using the formula:
= (4π x 10-7 T m/A) x (28.0 A) x (77.0 A) / (2π x 0.38 m)
Simplifying the expression, we get:
= 1.53 x 10-4 T
Therefore, the answer is True.