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FIGURE P30.47 shows a 1.0-cm-diameter loop with R=0.50Ωinside a 2.0-cm-diameter solenoid. The solenoid is 8.0cm long, has 120 turns, and carries the current shown in the graph. A positive current is CWwhen seen from the left. Determine the current in the loop att=0.010s

Short Answer

Expert verified

The current induced in the loop is −15μA

Step by step solution

01

 Lenz's Law

Inside this illustration here, we've shown the approach as from left. This power supplied in the thread will create a magnetic field that resisted the variation due to Lenz's law. In our situation, the stream with in circuit will turn around to achieve this need.

02

Step 2:Current in the loop

Just to see if can have discover its power in the spiral. The solenoid's magnetic field is consistent, and so its value is calculated

B=μ0IsolNl​A=14d2π

Φ=BA=14μ0IsolNld2π

Faraday's law of induction

ε=−ΔΦΔt

The magnetic flux is the current

ΔΦΔt=14lμ0Nd2πΔIsolΔt

03

Ohm's Law

The loop of current using Ohm's law

Iloop=εR=−14lRμ0Nd2πΔIsolΔt.

The graph depicts the change of piezo power - the charging current. by

ΔIsolΔt=0.5A0.01s=50A/s

Iloop=−15μA

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