Problem 1: The conductive tissues of the upper leg can be modeled as a 40-cm-long, 12-cm-diameter cylinder of muscle and fat. The resistivities of muscle and fat are Pm= 1392m and pf = 252 m, respectively. One person's upper leg is 82% muscle, 18% fat. What current is measured if a AV 1.5 V potential difference is applied between the person's hip and = knee? a) Model the muscle and fat tissues as separate segments of the cylin- der connected as shown in Fig.1. The segments have the same length L but different cross sectional areas, based on their percentages. Compute separately the resistances of the muscle and the fat tissues, R and Rf. Im Rm muscle If R& FIG. 1: The scheme for Problem 1 b) The potential difference AV is the same along the muscle and the fat segments. Compute the currents Im and If flowing through the two segments. According to Kirchhoff's junction law, the total current is equal to their sum, I = I₁+I₂. Compute I.

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Problem 1: The conductive tissues of the upper leg can be modeled as a
40-cm-long, 12-cm-diameter cylinder of muscle and fat. The resistivities
of muscle and fat are Pm = 1322m and pf = 2592 m, respectively. One
person's upper leg is 82% muscle, 18% fat. What current is measured if a
AV = 1.5 V potential difference is applied between the person's hip and
knee?
a) Model the muscle and fat tissues as separate segments of the cylin-
der connected as shown in Fig.1. The segments have the same length L
but different cross sectional areas, based on their percentages. Compute
separately the resistances of the muscle and the fat tissues, Rm and Rf.
Im
Rm
muscle
↓I
RE
FIG. 1: The scheme for Problem 1
b) The potential difference AV is the same along the muscle and the fat segments. Compute the currents
Im and If flowing through the two segments. According to Kirchhoff's junction law, the total current is
equal to their sum, I = I₁+I2. Compute I.
Transcribed Image Text:Problem 1: The conductive tissues of the upper leg can be modeled as a 40-cm-long, 12-cm-diameter cylinder of muscle and fat. The resistivities of muscle and fat are Pm = 1322m and pf = 2592 m, respectively. One person's upper leg is 82% muscle, 18% fat. What current is measured if a AV = 1.5 V potential difference is applied between the person's hip and knee? a) Model the muscle and fat tissues as separate segments of the cylin- der connected as shown in Fig.1. The segments have the same length L but different cross sectional areas, based on their percentages. Compute separately the resistances of the muscle and the fat tissues, Rm and Rf. Im Rm muscle ↓I RE FIG. 1: The scheme for Problem 1 b) The potential difference AV is the same along the muscle and the fat segments. Compute the currents Im and If flowing through the two segments. According to Kirchhoff's junction law, the total current is equal to their sum, I = I₁+I2. Compute I.
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