A Wheatstone bridge is used to measure strain as shown in the figure below.
Initially, the bridge was balanced. When a strain is applied to the resistor \( R_{{strain}} \), along its length, the output voltage \( V_{{out}} \) is 10 mV.
If \( R_{{strain}} \) is a cylindrical resistor of length \( l \) and cross-sectional area \( A \), the magnitude of the applied strain is _______.
(rounded off to two decimal places)
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