Final answer:
To find the body's resistance with given bioelectric impedance and phase angle, we use the equation R = Z * cos(φ), with Z equal to 5.37 × 10² ohms and φ equal to -9.55°. The resistance is calculated by multiplying the impedance by the cosine of the phase angle.
Step-by-step explanation:
To determine the body's resistance when we have bioelectric impedance, we must understand the relationship between the resistance (R), impedance (Z), and the phase angle (φ). Given that impedance has units of ohms and is represented by the equation Z = √(R²+(XL - Xc)²), we can deduce the body's resistance as it relates to the total impedance and the phase angle, assuming there's no inductance (L) in the system, thus XL is zero. If the phase angle φ is negative, it suggests that the circuit behaves predominantly as a capacitor, which entails that Xc > XL. Therefore, we can use the formula for impedance to calculate resistance.
Since the impedance Z is given as 5.37 × 10² ohms and the phase angle φ as -9.55°, and given that tan(φ) = (Xc - XL) / R, we can rearrange the equation to find R. The resistance will be derived from R = Z · cos(φ). Utilizing the values given for bioelectric impedance and phase angle, we find the resistance as follows:
R = 5.37 × 10² × cos(-9.55°)
Upon calculating the cosine of the negative phase angle, which yields a positive value, we can multiply that with the given impedance to find the body's resistance.