A rectangular conducting homogeneous (which means the material is the same throughout) block has dimensions 1cm×2cm×3cm . A voltage V is applied between all opposite faces of the block and the corresponding currents were recorded. What is the maximum current measured in Amps if the minimum current recorded is 1mA.

look atface area.

largest area: 6cm^2 length: 1cm
Minimum area: 2cm^2 length 3 cm

current will be in proportion to 1/resistance which is proportional to length/area, current=constant*area/length

Min current, max resistance

1mA=constant(2/3)
currentmax=constant(6/1)

constant=1mA*3/2
currentmax=1mA*3/2*6/1=9mA

It should be 0.009

To find the maximum current measured in Amps, we need to understand the concept of conductivity and Ohm's Law.

Ohm's Law states that the current passing through a conductor is directly proportional to the voltage applied across it and inversely proportional to its resistance. Mathematically, Ohm's Law can be expressed as:

I = V/R

Where:
I is the current in Amperes
V is the voltage in Volts
R is the resistance in Ohms

In this case, a voltage V is applied between opposite faces of the rectangular block. Since the block is conducting and homogeneous, we can assume that the resistance is uniform throughout the block.

To determine the resistance of the block, we need the dimensions of the block and the resistivity of the material. The resistivity (ρ) of a material is the inherent property that quantifies its resistance. It is usually given in units of Ohm-meters (Ω·m).

Given the dimensions of the block (1cm × 2cm × 3cm), we can calculate its resistance using the formula:

R = ρ * (L/A)

Where:
R is the resistance in Ohms
ρ is the resistivity of the material in Ohm-meters
L is the length of the current path in meters
A is the cross-sectional area of the current path in square meters

Since the dimensions of the block are given in centimeters, we need to convert them to meters before calculating the resistance.

Once we have the resistance, we can use Ohm's Law to find the maximum current by substituting the resistance and voltage into the equation:

I = V/R

Finally, we can compare the maximum current with the minimum current (1mA) to determine which one is larger.

Note: To calculate the maximum current precisely, the resistivity of the material used in the block is required.