Final answer:
The induced electromotive force (emf) across a spacecraft passing through a strong magnetic field is obtained using the formula emf = B × l × v. By substituting the given values for magnetic field strength, length of the spacecraft, and its velocity, the induced emf is calculated to be approximately 1.0665248 × 10^10 volts.
Step-by-step explanation:
The question asks us to calculate the induced electromotive force (emf) across a spacecraft when it passes through a strong magnetic field. The relevant physics concept for this problem is Faraday's Law of Induction, which in this case can be expressed using the formula emf = B × l × v, where B is the magnetic field strength, l is the length of the spacecraft, and v is the velocity at which the spacecraft is moving through the magnetic field. Given the values from the question, we can plug in B = 1.96 × 10^4 T, l = 25.1 m, and v = 2.18 × 10^3 m/s to obtain the induced emf.
To calculate the induced emf, we do the following calculation:
emf = B × l × v
emf = (1.96 × 10^4 T) × (25.1 m) × (2.18 × 10^3 m/s)
emf = 1.0665248 × 10^10 V
The resulting induced emf between the two ends of the spacecraft is approximately 1.0665248 × 10^10 volts.